On the p -length of the mutually permutable product of two p -soluble groups

John Cossey; Yangming Li

doi:10.1007/s00013-018-1150-8

On the p -length of the mutually permutable product of two p -soluble groups

John Cossey
, Yangming Li^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Let a finite group G= AB be the mutually permutable product of two p-soluble subgroups A and B for some prime p. We give a bound of the p-length of G from the p-lengths of A and B.

Original language	English
Pages (from-to)	533-537
Number of pages	5
Journal	Archiv der Mathematik
Volume	110
Issue number	6
DOIs	https://doi.org/10.1007/s00013-018-1150-8
Publication status	Published - 1 Jun 2018

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title = "On the p -length of the mutually permutable product of two p -soluble groups",

abstract = "Let a finite group G= AB be the mutually permutable product of two p-soluble subgroups A and B for some prime p. We give a bound of the p-length of G from the p-lengths of A and B.",

keywords = "Mutually permutable product, The lower p-series of a p-soluble group, The p-length of a p-soluble group",

author = "John Cossey and Yangming Li",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.",

year = "2018",

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doi = "10.1007/s00013-018-1150-8",

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T1 - On the p -length of the mutually permutable product of two p -soluble groups

AU - Cossey, John

AU - Li, Yangming

PY - 2018/6/1

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N2 - Let a finite group G= AB be the mutually permutable product of two p-soluble subgroups A and B for some prime p. We give a bound of the p-length of G from the p-lengths of A and B.

AB - Let a finite group G= AB be the mutually permutable product of two p-soluble subgroups A and B for some prime p. We give a bound of the p-length of G from the p-lengths of A and B.

KW - Mutually permutable product

KW - The lower p-series of a p-soluble group

KW - The p-length of a p-soluble group

UR - https://www.scopus.com/pages/publications/85041828459

U2 - 10.1007/s00013-018-1150-8

DO - 10.1007/s00013-018-1150-8

M3 - Article

SN - 0003-889X

VL - 110

SP - 533

EP - 537

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 6

ER -

On the p -length of the mutually permutable product of two p -soluble groups

Abstract

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