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math.GR2020
On products of groups and indices not divisible by a given prime
María-José Felipe, Lev S. Kazarin, Ana Martínez-Pastor +1
Let the group be the product of subgroups and , and let be a prime. We prove that does not divide the conjugacy class size (index) of each -regular eleme…
math.GR2020
The -property on products of -decomposable groups
L. S. Kazarin, A. Martínez-Pastor, M. D. Pérez-Ramos
The aim of this paper is to prove the following result: Let be a set of odd primes. If the group is the product of two -decomposable subgroups an…