Des MacHale | Academic Influence

Des MacHale's AcademicInfluence.com Rankings

Des MacHale

Mathematics

#4525

World Rank

#6412

Historical Rank

Measure Theory

#4254

World Rank

#5010

Historical Rank

mathematics Degrees

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Mathematics

Des MacHale's Degrees

PhD Mathematics National University of Ireland

Why Is Des MacHale Influential?

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According to Wikipedia, Desmond MacHale is Emeritus Professor of Mathematics at University College Cork, Ireland. He is an author and speaker on several subjects, including George Boole, lateral thinking puzzles, and humour. He has published over 80 books, some of which have been translated into languages including Danish, Italian, Norwegian, Spanish, German, Korean, and Japanese.

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Des MacHale'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

How commutative can a non-commutative group be? (1974) (58)
George Boole: His Life and Work (1985) (45)
Groups with automorphisms inverting most elements (1972) (37)
SOME SUPERSOLVABILITY CONDITIONS FOR FINITE GROUPS (2006) (35)
Finite rings with many commuting pairs of elements (2014) (26)
Commutativity in Finite Rings (1976) (24)
Two Elementary Generalisations of Boolean Rings (1986) (19)
Humor and political correctness (1997) (17)
Automorphism orbits of finite groups (1986) (16)
Projective geometry (2nd edition), by H. S. M. Coxeter. Pp 162. DM 59. 1987. ISBN 3-540-96532-7 (Springer) (1990) (13)
The Predictability of Counterexamples (1980) (12)
1 = x/x (2009) (12)
The Complete Guide to the Quiet Man (2001) (11)
Contrasting the commuting probabilities of groups and rings (2014) (11)
Two‐Groups in Which an Automorphism Inverts Precisely Half the Elements (1998) (10)
My favourite polynomial (1991) (9)
An anticommutativity consequence of a ring commutativity theorem of Herstein (1987) (9)
0 = x−x (1992) (7)
Groups with an automorphism cubing many elements (1975) (7)
The Merchant of Death (2002) (7)
Great Lateral Thinking Puzzles (1994) (6)
A Quiet Man Miscellany (2020) (6)
Variations on a Theme: Rings Satisfying x3 = x Are Commutative (2013) (6)
Variations on a Theme: A4 Definitely Has No Subgroup of Order Six! (2000) (5)
Restrictions on commutativity ratios in finite groups (2014) (4)
The Life and Work of George Boole: A Prelude to the Digital Age (2014) (4)
Constructing integer angles (1982) (4)
ON THE SUM OF THE CHARACTER DEGREES OF A FINITE GROUP (2008) (4)
At the Pictures (2001) (4)
Minimum Counterexamples In Group Theory (1981) (4)
Commuting probability for subrings and quotient rings (2017) (3)
Dissecting squares (2001) (3)
Polynomials That Force a Unital Ring to be Commutative (2013) (3)
Odd order groups with an automorphism cubing many elements (1989) (3)
Mathematics and Humour (2012) (3)
Elementary Problems: E2869-E2872 (1981) (2)
Powers of Commutators and Anticommutators (2012) (2)
Universal Power-Automorphisms in Finite Groups (1975) (2)
96.01 Generalising a result about Pythagorean triples (2012) (2)
Dividing an angle into equal parts (1985) (2)
FINITE GROUPS WITH FEW AUTOMORPHISMS (2004) (2)
Odd order rings with many idempotents (2013) (2)
On the Order of the Automorphism Group of a Finite Group (2011) (2)
Z-POLYNOMIALS AND RING COMMUTATIVITY (2012) (2)
Minimal odd order automorphism groups (2009) (2)
Finite Rings with Large Anticommuting Probability (2014) (2)
Conjugacy deficiency in finite groups (2013) (2)
97.40 Infinitely many proofs that there are infinitely many primes (2013) (1)
East of the Sun, West of the Moon (1991) (1)
Packing squares into rectangles (2012) (1)
85.34 A maximum without calculus (2001) (1)
A MATHEMATICAL GEM (2008) (1)
Minimal embeddings of small finite groups (2017) (1)
105.29 A geometric memory (2021) (1)
Still More of the World's Best Irish Jokes (1990) (1)
Cayley’s Theorem Revisited: Embeddings of Small Finite Groups (2018) (1)
92.30 The well-ordering principle for ℕ (2008) (1)
A characterisation of commutator-forcing polynomials (2014) (1)
The Life and Work of George Boole (2014) (1)
Correct answer – dodgy method (2021) (1)
92.62 Some Diophantine tricks (2008) (1)
CENTRIFIERS AND RING COMMUTATIVITY (2012) (1)
Small rings without ideal centres (2012) (1)
That 3-4-5 triangle again (1989) (1)
Degree Sum Deficiency in Finite Groups (2015) (1)
67.34 Some lesser known irrational numbers (1983) (1)
89.32 On a particular Diophantine equation (2005) (1)
On arithmetic-geometric-mean polynomials (2017) (1)
97.18 Variatins on twin primes (2013) (1)
What does “mean” mean? (1990) (1)
Are There More Finite Rings than Finite Groups? (2020) (1)
The Lost City of Faar (2003) (0)
Verifying non-isomorphism of groups (2021) (0)
Advanced Problems: 5976-5981 (1974) (0)
92.78 A mathematical gem (2008) (0)
70.35 A commutativity theorem for any associative operation (1986) (0)
87.32 Some improved dissections of squares (2003) (0)
96.23 Minimal Sudoku (2012) (0)
98.10 Associativity of symmetric set difference (2014) (0)
George Boole and Childhood Mortality in the Cork Union Workhouse. (2017) (0)
Back to square one (1978) (0)
99.04 Another irrational number (2015) (0)
Rings with ideal centres (2014) (0)
105.49 Equality in mathematics (2021) (0)
81.21 Vanishing coffee mornings and Irish elections (1997) (0)
How easy is a golf putt? (1992) (0)
94.31 Approximations for π and e (2010) (0)
Dissecting attached squares (2022) (0)
The Never War (2003) (0)
When is a Finite Ring a Field? (1996) (0)
Conjugate deficiency in nite groups (2013) (0)
Humour Corner (2006) (0)
Index to the Mathematical Gazette (1991) (0)
The distance from a point to a line (2008) (0)
Index to the Mathematical Gazette (1987) (0)
A disturbing implication (1973) (0)
Central Factor Groups and Commutativity (2017) (0)
The world's best Maggie Thatcher jokes (1989) (0)
Index to the Mathematical Gazette (2012) (0)
Some shorter proofs for $p$-groups (2020) (0)
Index to the Mathematical Gazette (1992) (0)
Modern algebra with applications , William J. Gilbert. Pp. 348. £56.95. 2002. ISBN 0471 23543 1 (Wiley). (2004) (0)
Mathematical Humour Corner (2006) (0)
Book Review (2005) (0)
Maximal runs of strictly composite integers (2015) (0)
The Light (2010) (0)
91.64 A touch of heuristics (2007) (0)
71.32 Operations distributive over each other (1987) (0)
Elementary Problems: E3105-E3110 (1985) (0)
The Rivers of Zadaa (2005) (0)
Relations on Sets (2013) (0)
Values of $f(G)$ for groups $G$ of odd order with $P_r(G)\ge 11/75$ (2020) (0)
2 + 2 = 5 (2023) (0)
The Pilgrims of Rayne (2007) (0)
Converse Lagrange Theorem Orders and Supersolvable Orders Des MacHale School of Mathematical Sciences University College Cork Cork Ireland (0)
85.54 (a + b)-1 = a -1 + b -1 revisited (2001) (0)
Index to the Mathematical Gazette (1986) (0)
Packing a rectangle with m x (m + 1) rectangles (2016) (0)
Logical Thinking Puzzles (2006) (0)
95.25 Goldbach variations (2011) (0)
Finite rings with many idempotents (2013) (0)
Index to the Mathematical Gazette (2006) (0)
91.59 Elementary bounds for the n th prime (2007) (0)
The Booles and the Hintons: two dynasties that helped shape the modern world. By Gerry Kennedy. Pp xvi, 476. Cork: Cork University Press. 2016. €30 hardback. (2019) (0)
105.16 Some elementary results in number theory (2021) (0)
82.33 Totally non-commutative systems (1998) (0)
Noncommutative Anticommutative Rings (1987) (0)
Boolean Rings are Definitely Commutative! (2015) (0)
Proof Without Words: ℤ × ℤ Is a Countable Set (2004) (0)
Proof Without Words: Isosceles Dissections (2008) (0)
The Quillan Games (2006) (0)
Polynomials That Force a Unital Ring to be Commutative (2012) (0)
Vector addition in the 21st century (2007) (0)
Diophantine boxes (2000) (0)
Converse Lagrange Theorem Orders and Supersolvable Orders (2016) (0)
Laughing to the Bank (1976) (0)
70.43 A Pythagorean geometric surprise (1986) (0)
Finite Rings wit hL arg eA nticommuting Probability (2014) (0)
Index to the Mathematical Gazette (1974) (0)
Soul of Brevity (1995) (0)
On the order of a smallest group with a given representation degree (2019) (0)
91.34 Positive solutions of Mordell’s equation (2007) (0)
91.62 From immersion heaters to buoys (2007) (0)
Correspondence (1997) (0)
Book Review (2006) (0)
The Reality Bug (2003) (0)
Integration without tears - two for the price of one (2008) (0)
Counting Commutativities in Finite Algebraic Systems (2016) (0)

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