Periodic soluble groups in which every subnormal subgroup has defect at most two
type: Item
instance of: scholarly article
title: Periodic soluble groups in which every subnormal subgroup has defect at most two
zbMATH Open document ID: 0571.20021
DOI: 10.1007/BF01197129
author: Carlo Casolo
published in: Archiv der Mathematik
publication date: 1986-01-01T00:00:00Z
review text: Let \(B_ n\) denote the class of groups in which every subnormal subgroup has defect at most n. The main results of the paper are: Theorem 1, a soluble p-group in \({\mathfrak B}_ 2\) has derived length at most 4, and at most 3 if \(p\neq 2\); Theorem 2, a periodic soluble group in \({\mathfrak B}_ 2\) has derived length at most 10.
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20F14
Mathematics Subject Classification ID: 20F16
zbMATH DE Number: 3910610
zbMATH Keywords: subnormal subgroup
zbMATH Keywords: defect
zbMATH Keywords: soluble p-group
zbMATH Keywords: derived length
zbMATH Keywords: periodic soluble group
MaRDI profile type: Publication
cites work: Radical groups of finite Abelian subgroup rank
cites work: A class of three-Engel groups
cites work: A special class of three Engel groups
cites work: Finite soluble groups whose subnormal subgroups have defect at most two
cites work: The subnormal structure of some classes of coluble groups
cites work: Q5736170
cites work: On the theory of subnormal subgroups
cites work: Wreath Products and Indices of Subnormality
cites work: Q5654235
cites work: On groups in which every subgroup is subnormal
full work available at URL: https://doi.org/10.1007/bf01197129
OpenAlex ID: W2073306262
description: scientific article; zbMATH DE number 3910610