Bettina Eick
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German mathematician
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Group Theory
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Algebra
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Measure Theory
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Mathematics
Why Is Bettina Eick Influential?
(Suggest an Edit or Addition)According to Wikipedia, Bettina Eick is a German mathematician specializing in computational group theory. She is Professor of Mathematics at the Technische Universität Braunschweig. Life and education Eick was born on May 16, 1968, in Bremervörde, Germany, to Hans and Eva Eick. She attended the Rheinische-Westfälische Technische Hochschule Aachen from 1987 to 1993. During that time she spent a year at the Queen Mary and Westfield College doing mathematical work under the direction of Charles Leedham-Green. In 1993 she completed her Diplom thesis under the supervision of Joachim Neubüser.
Bettina Eick's Published Works
Published Works
- Handbook of Computational Group Theory (2005) (222)
- A Millennium Project: Constructing Small Groups (2002) (196)
- CONSTRUCTING AUTOMORPHISM GROUPS OF p-GROUPS (2002) (56)
- The Groups of Order at Most 1000 Except 512 and 768 (1999) (53)
- POLYCYCLIC GROUPS: A NEW PLATFORM FOR CRYPTOLOGY? (2004) (52)
- On the classification of prime‐power groups by coclass (2008) (46)
- Construction of Finite Groups (1999) (42)
- The groups of order at most 2000 (2001) (41)
- Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group (2008) (36)
- Algorithms for Polycyclic Groups (2000) (29)
- Computational Group Theory (2022) (22)
- On the groups of cube-free order (2005) (21)
- Some new simple Lie algebras in characteristic 2 (2010) (19)
- The modular isomorphism problem for the groups of order 512 (2011) (18)
- Computing automorphism groups and testing isomorphisms for modular group algebras (2008) (18)
- Schur multipliers and the Lazard correspondence (2012) (18)
- Automorphism groups of 2-groups (2006) (18)
- Computing faithful representations for nilpotent Lie algebras (2008) (17)
- On the Classification of Groups of Prime-Power Order by Coclass: the 3-Groups of Coclass 2 (2013) (17)
- Enumerating p-Groups (1999) (16)
- On the orbit-stabilizer problem for integral matrix actions of polycyclic groups (2003) (16)
- A Nilpotent Quotient Algorithm for Certain Infinitely Presented Groups and its Applications (2008) (16)
- Schur multiplicators of finite p-groups with fixed coclass (2008) (16)
- Computing polycyclic presentations for polycyclic rational matrix groups (2005) (15)
- Computing the maximal subgroups of a permutation group I (2001) (14)
- Computation of Low-Dimensional (Co)Homology Groups for Infinite Sequences of P-Groups with Fixed Coclass (2010) (14)
- Groups St Andrews 2009 in Bath: Computing with matrix groups over infinite fields (2011) (13)
- Testing polycyclicity of finitely generated rational matrix groups (2007) (13)
- Computational Aspects of Group Extensions and Their Applications in Topology (2002) (12)
- Special presentations for finite soluble groups and computing(pre-) Frattini subgroups (1995) (12)
- Computing Maximal Subgroups and Wyckoff Positions of Space Groups (1997) (12)
- The Solvable Primitive Permutation Groups of Degree at Most 6560 (2003) (11)
- Special polycyclic generating sequences for finite soluble groups (2004) (11)
- Schur multiplicators of infinite pro-p-groups with finite coclass (2008) (10)
- Computing Subgroups by Exhibition in Finite Solvable Groups (2002) (10)
- Determination of the Uniserial Space Groups with a given Coclass (2005) (10)
- THE GROUPS OF ORDER qn · p (2001) (9)
- Nilpotent associative algebras and coclass theory (2015) (8)
- Computing with infinite polycyclic groups (2001) (8)
- The class-breadth conjecture revisited (2006) (8)
- The constructive membership problem for discrete free subgroups of rank 2 of (2014) (8)
- The construction of finite solvable groups revisited (2013) (7)
- Constructing Groups of ‘Small’ Order: Recent Results and Open Problems (2017) (7)
- Algorithms for Crystallographic Groups (2006) (7)
- The Quillen categories of p-groups and coclass theory (2013) (7)
- The conjugacy problem in GL (n,Z) (2018) (6)
- On the Fitting Subgroup of a Polycyclic-by-Finite Group and Its Applications☆ (2001) (6)
- The converse of a theorem of W. Gaschütz on Frattini subgroups (1997) (6)
- Computing the automorphism group of a solvable Lie algebra (2004) (6)
- Binary Relations (2022) (5)
- Finite p-groups of maximal class with ‘large’ automorphism groups (2016) (5)
- Computing Nilpotent Quotients of Associative Algebras and Algebras Satisfying a Polynomial Identity (2011) (5)
- On p-groups forming Brauer pairs (2006) (5)
- A nilpotent quotient algorithm for L-presented groups (2007) (4)
- Coclass Theory for Finite Nilpotent Associative Algebras: Algorithms and a Periodicity Conjecture (2017) (4)
- Computing p-groups with trivial Schur multiplicator (2009) (4)
- The Groups of Order 512 (1997) (4)
- Coclass theory for nilpotent semigroups via their associated algebras (2012) (4)
- The automorphism group of a finitely generated virtually abelian group (2016) (4)
- On Efficient Presentations for Infinite Sequences of 2-Groups with Fixed Coclass (2013) (3)
- Hall polynomials for the torsion free nilpotent groups of Hirsch length at most 5 (3)
- Orbit-stabilizer Problems and Computing Normalizers for Polycyclic Groups (2002) (3)
- On the number of infinite branches in the graph of all p-groups of coclass r (2005) (3)
- A nilpotent quotient algorithm for finitely presented associative $\mathbb {Z}$-algebras and its application to integral group rings (2020) (3)
- Enumeration of groups whose order factorises in at most 4 primes (2017) (3)
- Groups St Andrews 2001 in Oxford: Computations with almost-crystallographic groups (2003) (2)
- The isomorphism problem for graded algebras and its application to mod-p cohomology rings of small p-groups (2015) (2)
- Metabelian p-groups and coclass theory (2015) (2)
- Enumeration of nilpotent associative algebras of class 2 over arbitrary finite fields (2018) (2)
- Counting p-groups and Lie algebras using PORC formulae (2020) (2)
- The enumeration of groups of order p n q for n ≤ 5 (2018) (2)
- WHEN IS THE AUTOMORPHISM GROUP OF A VIRTUALLY POLYCYCLIC GROUP VIRTUALLY POLYCYCLIC? (2003) (2)
- Computing Polycyclic Quotients of Finitely (L-)Presented Groups via Groebner Bases (2010) (1)
- On Groups of Automorphisms of Residually Finite Groups (2000) (1)
- Groups whose orders factorise into at most four primes (2020) (1)
- COCHAIN SEQUENCES AND THE QUILLEN CATEGORY OF A COCLASS FAMILY (2015) (1)
- Polynomials describing the multiplication in finitely generated torsion-free nilpotent groups (2018) (1)
- The isomorphism problem for torsion free nilpotent groups of Hirsch length at most 5 (2017) (1)
- Computing Hall subgroups of finite groups (2012) (1)
- Addendum to “On the groups of cube-free order” [J. Algebra 292 (1) (2005) 122–137] (2012) (0)
- Symbolic and Computational Algebra (2017) (0)
- Deciding if a variety forms an algebraic group (2015) (0)
- The constructive membership problem for discrete free subgroups of SL 2 ( R ) (0)
- Representing Groups on a Computer (2005) (0)
- Symbolic computation of Schur multipliers with an application to the groups of order dividing $p^6$ (2018) (0)
- Approximating Generators for Integral Arithmetic Groups (2014) (0)
- Computing the order and the index of a subgroup in a polycyclic group (2021) (0)
- Galois trees in the graph of p-groups of maximal class (2021) (0)
- A Historical Review of Computational Group Theory (2005) (0)
- Computation in Finite Permutation Groups (2005) (0)
- Presentations of Given Groups (2005) (0)
- Algorithms for Linear Groups (2015) (0)
- Constructing CF Groups by Coclass (2009) (0)
- Classifying Nilpotent Associative Algebras: Small Coclass and Finite Fields (2017) (0)
- Preface: Special issue dedicated to Charles Sims (2020) (0)
- Periodicities for graphs of p-groups beyond coclass (2016) (0)
- Advanced Computations in Finite Groups (2005) (0)
- The Quillen categories of p-groups and coclass theory (2014) (0)
- Finite State Automata and Automatic Groups (2005) (0)
- Computing Formation Theoretic Subgroups and Certain Complements in F Inite Solvable Groups (0)
- Group Constructions — A GAP 4 Package by (2003) (0)
- Computation with Polycyclic Groups (2005) (0)
- Ch 12 Rewriting Systems and the Knuth-Bendix Completion Process (2005) (0)
- The GAP Package LiePRing (2020) (0)
- Hall polynomials for the torsion free groups of Hirsch length at most 5 (2016) (0)
- Libraries and Databases (2005) (0)
- Schur multipliers and the Lazard correspondence (2012) (0)
- Representation Theory, Cohomology, and Characters (2005) (0)
- Computing the Schur multipliers of the Lie p-rings in the family defined by a symbolic Lie p-ring presentation (2021) (0)
- Computing Quotients of Finitely Presented Groups (2005) (0)
- AutPGrp — A GAP 4 Package (2010) (0)
- Graded Lie algebras of Cartan type in characteristic 2 (2015) (0)
- On the Frattini subgroup of a polycyclic group (2021) (0)
- Linear equations over finite abelian groups (2011) (0)
- Group extensions with special properties (2014) (0)
- Computing subalgebras and $\mathbb{Z}_2$-gradings of simple Lie algebras over finite fields (2022) (0)
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