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math.GR2012★ 5 cited
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…
math.GR2012
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…