5 citations · 5 across the 4 of their papers we have counts for
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Conjugacy in finite classical groups
Giovanni De Franceschi, Martin W. Liebeck, E. A. O'Brien
Let be a classical group defined over a finite field. We consider the following fundamental problems concerning conjugacy in : 1. List a representative for each conjugacy cl…
Classifying finite monomial linear groups of prime degree in characteristic zero
Z. Bácskai, D. L. Flannery, E. A. O'Brien
Let be a prime and let be the complex field. We explicitly classify the finite solvable irreducible monomial subgroups of up to conjuga…
Some word maps that are non-surjective on infinitely many finite simple groups
Sebastian Jambor, Martin W. Liebeck, E. A. O'Brien
We provide the first examples of words in the free group of rank 2 which are not proper powers and for which the corresponding word maps are non-surjective on an infinite family of…
Enumerating classes and characters of p-groups
E. A. O'Brien, C. Voll
We develop general formulae for the numbers of conjugacy classes and irreducible complex characters of finite p-groups of nilpotency class less than p. This allows us to unify and…