99 citations · 492 across the 111 of their papers we have counts for
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A note on abelian subgroups of maximal order
Stefanos Aivazidis, Robert M. Guralnick
In a recent paper of the first author and I. M. Isaacs it was shown that if m = m(G) is the maximal order of an abelian subgroup of the finite group G, then |G| divides m! ([AI18,…
Zero-one generation laws for finite simple groups
Robert M. Guralnick, Martin W. Liebeck, Frank Lübeck +1
Let be a simple algebraic group over the algebraic closure of ( prime), and let denote a corresponding finite group of Lie type over , where is a p…
Variants of some of the Brauer-Fowler Theorems
Robert M. Guralnick, Geoffrey R. Robinson
Brauer and Fowler noted restrictions on the structure of a finite group G in terms of the order of the centralizer of an involution t in G. We consider variants of these themes. We…
Conjugacy classes, characters and products of elements
Robert M. Guralnick, Alexander Moretó
Recently, Baumslag and Wiegold proved that a finite group is nilpotent if and only if for every of coprime order. Motivated by this result, we study…
On the singular value decomposition over finite fields and orbits of GU x GU
Robert M. Guralnick
The singular value decomposition of a complex matrix is a fundamental concept in linear algebra and has proved extremely useful in many subjects. It is less clear what the situatio…