5 citations · 12 across the 5 of their papers we have counts for
5 papers
Enumerating fibres of commutator words over p-groups
Matthew Levy
We enumerate the fibres of commutator word maps over p-groups of nilpotency class less than p with exponent p. We also give some examples and enumerate the fibre sizes of all word…
Enumerating representations of general unitary groups over principal ideal rings of length 2
Matthew Levy
We enumerate the number of complex irreducible representations of each degree of general unitary groups of degree 4 over principal ideal rings of length 2.
Images of word maps in almost simple groups and quasisimple groups
Matthew Levy
It has been shown by Lubotzky in [10] that the set of verbal images of a fixed non-abelian finite simple group G is precisely the set of endomorphism invariant subsets of G. Here w…
Word maps with small image in simple groups
Matthew Levy
We construct non-power words which have small image in SL(2; 22n) for each n. In particular, the corresponding word maps are non-surjective. We also use this to construct word maps…
On the probability of satisfying a word in nilpotent groups of class 2
Matthew Levy
Let G be a finite group of nilpotency class 2 and w a group word. In this short paper we show that the probability that a random n-tuple of elements from G satisfies w is at least…