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math.GR2024
On finite groups isospectral to groups with abelian Sylow -subgroups
M. A. Grechkoseeva, A. V. Vasil'ev
The spectrum of a finite group is the set of orders of its elements. We are concerned with finite groups having the same spectrum as a direct product of nonabelian simple groups wi…
math.GR2024
The structure of a finite group and the maximum -index of its elements
A-Ming Liu, Andrey V. Vasil'ev
Given a set of primes , the -index of an element of a finite group is the -part of the index of the centralizer of in . If is a singleton, we just…