Archivo de la etiqueta: Rend. Lincei Mat. Appl.

Paper «On mutually permutable products of finite groups» published in Rend. Lincei. Mat. Appl.

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Adolfo Ballester-Bolinches, Yangming Li, Mari Carmen Pedraza-Aguilera.

On mutually permutable products of finite groups

Rend. Lincei. Mat. Appl., 29 (4):711-719, 2018

doi:10.4171/RLM/830

Abstract

The main purpose of this paper is to study mutually permutable products G=AB in which the subgroups of prime order p and cyclic of order 4 (if p=2) of the largest normal subgroup of G contained in A \cap B are well situated in G. Our results confirm once again the important role of the intersection of the factors in the structural study of mutually permutable products.

2010 Mathematics Subject Classification: 20D10, 20D20

Keywords: Finite group, Sylow permutability, weakly s-supplementation, factorisation, saturated formation.

Paper «On some permutable embeddings of subgroups of finite groups» published in Rend. Lincei Mat. Appl.

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The following paper has been published:
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El següent article ha sigut publicat:

Adolfo Ballester-Bolinches, James C. Beidleman.
On some permutable embeddings of subgroups of finite groups.
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 28(2):339-347, 2017.

doi: 10.4171/RLM/766

Abstract:

In this survey paper several subgroup embedding properties related to some types of permutability are introduced and studied.

2020 Mathematics Subject Classification: 20D05, 20D10, 20F16.

Keywords: Finite group, permutability, S-permutability, S-semipermutability.