A. Mart'inez-Pastor

activity

20172020

most citedSquare-free class sizes in products of groups

8 citations · 9 across the 4 of their papers we have counts for

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5 papers · 1 filter

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 $G = A B$ be the product of subgroups $A$ and $B$ , and let $p$ be a prime. We prove that $p$ does not divide the conjugacy class size (index) of each $p$ -regular eleme…

math.GR2020

The $D_{π}$ -property on products of $π$ -decomposable groups

L. S. Kazarin, A. Martínez-Pastor, M. D. Pérez-Ramos

The aim of this paper is to prove the following result: Let $π$ be a set of odd primes. If the group $G = A B$ is the product of two $π$ -decomposable subgroups $A = A_{π} \times A_{π^{'}}$ an…

math.GR2019★ 1 cited

Products of finite connected subgroups

M. P. GÁllego, P. Hauck, L. S. Kazarin +2

For a non-empty class of groups $L$ , a finite group $G = A B$ is said to be an $L$ -connected product of the subgroups $A$ and $B$ if $⟨ a, b ⟩ \in L$ for a…

math.GR2019

Thompson-like characterization of solubility for products of finite groups

P. Hauck, L. S. Kazarin, A. Martínez-Pastor +1

A remarkable result of Thompson states that a finite group is soluble if and only if its two-generated subgroups are soluble. This result has been generalized in numerous ways, and…

math.GR2017★ 8 cited

Square-free class sizes in products of groups

M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor

We obtain some structural properties of a factorised group $G = A B$ , given that the conjugacy class sizes of certain elements in $A \cup B$ are not divisible by $p^{2}$ , for some prim…