59 citations · 207 across the 25 of their papers we have counts for
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math.GR2013★ 4 cited
Locally finite groups with bounded centralizer chains
Alexandr Buturlakin, Andrey V. Vasil'ev
The c-dimension of a group G is the maximal length of a chain of nested centralizers in G. We prove that a locally finite group of finite c-dimension k has less than 5k nonabelian…
math.CO2013★ 5 cited
On non-abelian Schur groups
Ilya Ponomarenko, Andrey Vasil'ev
A finite group G is called Schur, if every Schur ring over G is associated in a natural way with a regular subgroup of Sym(G) that is isomorphic to G. We prove that any nonabelian…