Marston Conder

Q: What Schools Are Affiliated With Marston Conder

Marston Conder is affiliated with the following schools: University of Oxford, University of Waikato, University of Auckland

Marston Conder's AcademicInfluence.com Rankings

Marston Conder

Mathematics

#3482

World Rank

#5128

Historical Rank

Measure Theory

#3001

World Rank

#3564

Historical Rank

mathematics Degrees

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Mathematics

Why Is Marston Conder Influential?

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According to Wikipedia, Marston Donald Edward Conder is a New Zealand mathematician, a Distinguished Professor of Mathematics at Auckland University, and the former co-director of the New Zealand Institute of Mathematics and its Applications. His main research interests are in combinatorial group theory, graph theory, and their connections with each other.

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Marston Conder's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Determination of all Regular Maps of Small Genus (2001) (159)
Hurwitz groups: A brief survey (1990) (141)
A census of semisymmetric cubic graphs on up to 768 vertices (2006) (100)
Regular maps and hypermaps of Euler characteristic -1 to -200 (2009) (94)
Automorphism groups of symmetric graphs of valency 3 (1989) (73)
A Classification of 2-Arc-Transitive Circulants (1996) (72)
MORE ON GENERATORS FOR ALTERNATING AND SYMMETRIC GROUPS (1981) (65)
The symmetric genus of sporadic groups (1992) (63)
Remarks on Path-transitivity in Finite Graphs (1996) (55)
Some results on quotients of triangle groups (1984) (52)
Generators for Alternating and Symmetric Groups (1980) (49)
An update on Hurwitz groups (2010) (48)
Regular Cayley maps for finite abelian groups (2007) (47)
The genus of compact riemann surfaces with maximal automorphism group (1987) (47)
Determining Fuchsian groups by their finite quotients (2014) (46)
On Isomorphisms of Finite Cayley Graphs (1998) (45)
A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer (2003) (45)
On Cyclic Groups of Automorphisms of Riemann Surfaces (1999) (45)
Regular t-balanced Cayley maps (2007) (44)
On extendability of group actions on compact Riemann surfaces (2002) (43)
REGULAR HYPERMAPS OVER PROJECTIVE LINEAR GROUPS (2008) (43)
The genera, reflexibility and simplicity of regular maps (2010) (42)
Hexagon-free subgraphs of hypercubes (1993) (41)
Arc-transitive abelian regular covers of cubic graphs (2013) (38)
Constructions for chiral polytopes (2008) (37)
Regular Cayley maps for cyclic groups (2014) (34)
The symmetric genus of alternating and symmetric groups (1985) (33)
A refined classification of symmetric cubic graphs (2009) (33)
Some recent discoveries about half-arc-transitive graphs (2014) (32)
Compact hyperbolic 4-manifolds of small volume (2005) (31)
Symmetric cubic graphs of small girth (2007) (31)
On the Weiss conjecture for finite locally primitive graphs (2000) (28)
Regular maps on non-orientable surfaces (1995) (28)
Embedding Digraphs on Orientable Surfaces (2002) (27)
Cusps, triangle groups and hyperbolic 3-folds (1993) (27)
Pseudo-real Riemann surfaces and chiral regular maps (2010) (27)
The alperin and dade conjectures for the simple mathieu groups (1995) (26)
Galois actions on regular dessins of small genera (2013) (26)
Edge-transitive bi-Cayley graphs (2016) (26)
Constructive recognition of $\mathrm{PSL}(2, q)$ (2005) (26)
THREE-RELATOR QUOTIENTS OF THE MODULAR GROUP (1987) (25)
Applications and adaptations of the low index subgroups procedure (2004) (25)
Fast recognition of classical groups over large fields (2001) (23)
The smallest regular polytopes of given rank (2013) (22)
Arc-transitive abelian regular covers of the Heawood graph (2013) (21)
Classification of regular embeddings of n-dimensional cubes (2011) (21)
The Symmetric Genus of the Mathieu Groups (1991) (20)
Cyclic complements and skew morphisms of groups (2016) (19)
Presentations for 3-dimensional special linear groups over integer rings (1992) (19)
The Infinitude of 7-Arc-Transitive Graphs☆ (1998) (18)
Half-arc-transitive graphs of arbitrary even valency greater than 2 (2015) (18)
Motion and distinguishing number two (2011) (17)
On symmetries of Cayley graphs and the graphs underlying regular maps (2009) (17)
Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic −p 2 (2010) (17)
The intersection condition for regular polytopes (2013) (16)
Constructions for arc-transitive digraphs (1995) (16)
Discrete Groups and Geometry: Infinite families of automorphism groups of Riemann surfaces (1992) (16)
Reflexibility of regular Cayley maps for abelian groups (2009) (15)
Vertex-Transitive Non-Cayley Graphs with Arbitrarily Large Vertex-Stabilizer (1998) (15)
Maximal symmetry groups of hyperbolic 3-manifolds (2006) (15)
Short presentations for alternating and symmetric groups (2011) (15)
Trinity symmetry and kaleidoscopic regular maps (2013) (15)
Maximal automorphism groups of symmetric Riemann surfaces with small genus (1988) (15)
A counterexample to Fishburn's conjecture on finite linear qualitative probability (2004) (14)
The edge‐transitive but not vertex‐transitive cubic graph on 112 vertices (2005) (14)
Flippable Pairs and Subset Comparisons in Comparative Probability Orderings (2006) (14)
Computational Group Theory (1998) (14)
CONSTRUCTIVE RECOGNITION OF PSL(2, q) (2005) (13)
A Necessary Condition for Transitivity of a Finite Permutation Group (1988) (13)
Finite group actions on bordered surfaces of small genus (2010) (13)
On the limitations of the use of solvable groups in Cayley graph cage constructions (2010) (13)
Orders on Multisets and Discrete Cones (2007) (12)
GROUPS OF MINIMAL GENUS INCLUDING C2 EXTENSIONS OF PSL(2, q) FOR CERTAIN q (1987) (12)
2-Generator arithmetic Kleinian groups III (2002) (12)
A surprising isomorphism (1990) (12)
Explicit definition of the binary reflected Gray codes (1999) (12)
The edge-transitive but not vertex-transitive cubic graph on 112 vertices (2005) (12)
Construction of chiral 4-polytopes with alternating or symmetric automorphism group (2015) (11)
On the orders of arc-transitive graphs (2014) (11)
Extensions of finite cyclic group actions on non-orientable surfaces (2013) (10)
Derived Subgroups of Products of an Abelian and a Cyclic Subgroup (2004) (10)
GI-graphs: a new class of graphs with many symmetries (2014) (10)
Chiral maps of given hyperbolic type (2016) (10)
The Symmetric Group as a Polynomial Space (1993) (10)
On Embeddings of Circulant Graphs (2015) (10)
On one-relator quotients of the modular group (2011) (10)
Vertex-transitive Haar graphs that are not Cayley graphs (2015) (9)
Small Trivalent Graphs of Large Girth (1997) (9)
The symmetric genus spectrum of finite groups (2011) (9)
Bounds for the Number of Automorphisms of a Compact Non‐Orientable Surface (2003) (9)
A question by Graham Higman concerning quotients of the (2, 3, 7) triangle group (1991) (9)
An infinite Family of 4‐Arc‐Transitive Cubic Graphs Each with Girth 12 (1989) (9)
Groups St Andrews 2001 in Oxford: Group actions on graphs, maps and surfaces with maximum symmetry (2003) (9)
Tight orientably-regular polytopes (2013) (8)
SCHREIER COSET GRAPHS AND THEIR APPLICATIONS(GROUPS AND COMBINATORICS) (1992) (8)
Double coverings of Klein surfaces by a given Riemann surface (2002) (8)
Classification of regular maps of Euler characteristic -3p (2012) (8)
Hurwitz Groups with Given Centre (2002) (7)
Group Actions on the Cubic Tree (1992) (7)
Regular maps with nilpotent automorphism group (2016) (7)
Classification of trivalent symmetric graphs of small order (1995) (7)
ON THE GROUP G6,6,6 (1988) (7)
A family of Hurwitz groups with non-trivial centres (1986) (7)
Regular maps with simple underlying graphs (2015) (7)
Inner reflectors and non-orientable regular maps (2007) (6)
Skew product groups for monolithic groups (2019) (6)
Hurwitz Groups with Arbitrarily Large Centres (1986) (5)
A new 5-arc-transitive cubic graph (1987) (5)
Normal subgroups of low index in the modular group and other Hecke groups (2003) (5)
The symmetric genus of sporadic groups: announced results (1993) (5)
Orientably‐regular maps with given exponent group (2016) (5)
TWO ELEMENT GENERATION OF THE FINITE REFLECTION GROUPS (1995) (5)
Vertex-transitive graphs and their arc-types (2015) (4)
Edge-transitive graphs of small order and the answer to a 1967 question by Folkman (2018) (4)
Abelian covers of chiral polytopes (2017) (4)
EQUATIONS OF RIEMANN SURFACES OF GENUS 4 , 5 , AND 6 WITH LARGE AUTOMORPHISM GROUPS (2011) (4)
The arc-types of Cayley graphs (2018) (4)
Regular maps with small parameters (1994) (4)
The pseudo-real genus of a group (2020) (4)
Graham Higman's lectures on januarials (2012) (4)
Remarks Concerning Lubotzky's Filtration (2007) (4)
Arc-regular cubic graphs of order four times an odd integer (2012) (4)
Bounds on the orders of groups of automorphisms of a pseudo‐real surface of given genus (2019) (3)
Minimal Covers of Maximal Cliques for Interval Graphs (2009) (3)
Minimal generating pairs for permutation groups (1980) (3)
Constructing highly regular expanders from hyperbolic Coxeter groups (2020) (3)
Partition graphs for finite symmetric groups (1997) (3)
A more detailed classification of symmetric cubic graphs (2006) (3)
A Counterexample to Fishburn's Conjecture (2003) (3)
Answer to a 1962 question by Zappa on cosets of Sylow subgroups (2017) (3)
A Note on Groups Associated with 4-Arc-Transitive Cubic Graphs (1990) (3)
Genus spectra for symmetric embeddings of graphs on surfaces (2008) (3)
On automorphism groups of Riemann double covers of Klein surfaces (2017) (3)
Random walks in large finite groups (1991) (3)
The smallest chiral 6‐polytopes (2017) (3)
Efficient presentations for the Mathieu simple group M22 and its cover (2006) (3)
Symmetric cubic graphs via rigid cells (2020) (3)
Asymmetric Combinatorially-Regular Maps (1996) (2)
Link indices of Hurwitz maps (2017) (2)
Maximal bordered surface groups versus maximal handlebody groups (2014) (2)
Simple Group Actions on Arc-Transitive Graphs with Prescribed Transitive Local Action (2019) (2)
Cubic core-free symmetric m-Cayley graphs (2018) (2)
Comparative Probability Orders and the Flip Relation (2007) (2)
New methods for finding minimum genus embeddings of graphs on orientable and non-orientable surfaces (2019) (2)
Some Unexpected Consequences of Symmetry Computations (2014) (2)
On External Symmetry Groups of Regular Maps (2014) (2)
A note on Cayley graphs (1986) (2)
Symmetries of Surfaces , Maps and Dessins (2017) (2)
Defining-relations for Hurwitz groups (1994) (2)
Hyperbolic generalized triangle groups, property (T) and finite simple quotients (2020) (2)
Generating the Mathieu groups and associated Steiner systems (1993) (2)
Vertex-Transitive Graphs with Arbitrarily Large Vertex-Stabilizer (1997) (1)
Memories of Vaughan Jones (2021) (1)
The genera of chiral orientably-regular maps (1)
On the numbers of 2-weights, unipotent conjugacy classes, and irreducible Brauer 2-characters of finite classical groups (1995) (1)
Highly transitive imprimitivities (2006) (1)
On regular dessins d’enfants with 4g automorphisms and a curve of Wiman (2019) (1)
GI-graphs and their groups (2012) (1)
Two‐arc closed subsets of graphs (2003) (1)
Arc-types of vertex-transitive graphs (2015) (0)
Sir Vaughan Frederick Randal Jones (2021) (0)
Symmetric cubic graphs via rigid cells (2020) (0)
2 Coset graphs , face maps , januarials , and surfaces (2012) (0)
Constructions of 2-arc transitive directed graphs (1995) (0)
GROUP ACTIONS ON GRAPHS , MAPS AND SURFACESWITH MAXIMUM SYMMETRYMARSTON (2003) (0)
The Petra Šparl Award 2020 (2020) (0)
Asymmetric combinatorially-regular maps (1996) (0)
Arc-regular cubic graphs of order four times an odd integer (2011) (0)
Determining Fuchsian groups by their finite quotients (2016) (0)
Observations and answers to questions about edge-transitive maps (2020) (0)
Special Issue of ADAM on Symmetries of Graphs and Networks - Call for Papers (2018) (0)
Low-dimensional Topology (2022) (0)
Applications and Adaptations of the Low Index Subgroups Process (2007) (0)
Êêêùððö Ýððý Ññô× Óö ¬òòøø Ðððò Öóùô× (2007) (0)
Regular maps with nilpotent automorphism group (2016) (0)
The 2018 Petra Šparl Award (2018) (0)
The smallest symmetric cubic graphs with given type (2021) (0)
Orientable and non-orientable regular maps with given exponent group (2023) (0)
Rankings of Multisets and Discrete Cones (2004) (0)
EXTENDABILITY OF GROUP ACTIONS ON RIEMANN SURFACES 1539 The study of maximality of actions of groups on Riemann surfaces (2002) (0)
Petra Šparl Award 2018: Call for nominations (2019) (0)
Parameters for certain locally-regular graphs (2021) (0)
Two new proofs of the fact that triangle groups are distinguished by their finite quotients (2022) (0)
On presentations for unitary groups (2020) (0)
Pseudo-Hurwitz maps on alternating and symmetric groups (2023) (0)
Locally bi-2-transitive graphs and cycle-regular graphs, and the answer to a 2001 problem posed by Fouquet and Hahn (2023) (0)
A Counterexample to Fishburn ’ s Conjecture Draft : December 9 , 2003 (2003) (0)
Riemann surfaces with maximal real symmetry (2015) (0)
THE LJUBLJANA GRAPH (2002) (0)
Combinatorial and computational group-theoretic methods in the study of graphs, maps and polytopes with maximal symmetry (2008) (0)
Salami-Slicing Research (2018) (0)
Small‐volume hyperbolic manifolds constructed from Coxeter groups (2022) (0)
Two-arc closed subsets of graphs (2003) (0)
Concerning Lubotzky ’ s Filtration (2010) (0)
Two-ar losed subsets of graphs (2007) (0)
Extensions of finite cyclic group actions on bordered surfaces (2015) (0)
Theme 1: Regular and Edge-Transitive Maps (2017) (0)
Cubic core-free symmetric m-Cayley graphs (2018) (0)
On a family of groups defined by Said Sidki (2018) (0)
GI-graphs: a new class of graphs with many symmetries (2013) (0)
Graham Higman. 19 January 1917—8 April 2008 (2022) (0)
Construction of chiral 4-polytopes with alternating or symmetric automorphism group (2015) (0)
Sierpinski's Gasket, 2-Groups and Graph Symmetries (1996) (0)
Classification of regular maps of prime characteristic revisited: Avoiding the Gorenstein-Walter theorem (2020) (0)
RANDOM WALKS IN FINITE (2003) (0)
Special issue of ADAM devoted to the International Workshop on Symmetries of Graph and Networks 2018 (2020) (0)

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What Schools Are Affiliated With Marston Conder?

Marston Conder is affiliated with the following schools: