A note on conjugacy of supplements in finite soluble groups

Christopher Parker; P Rowley

doi:10.1112/blms/bdq002

A note on conjugacy of supplements in finite soluble groups

Christopher Parker, P Rowley

Mathematics

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5 Citations (Scopus)

Abstract

Let G be a finite soluble group and Q be a nilpotent normal subgroup of G. Here we prove that if no G-chief factor of G/Q is G-isomorphic to a G-chief factor of Q, then certain supplements to Q in G are G-conjugate.

Original language	English
Pages (from-to)	417-419
Number of pages	3
Journal	Bulletin of the London Mathematical Society
Volume	42
DOIs	https://doi.org/10.1112/blms/bdq002
Publication status	Published - 1 Jun 2010

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title = "A note on conjugacy of supplements in finite soluble groups",

abstract = "Let G be a finite soluble group and Q be a nilpotent normal subgroup of G. Here we prove that if no G-chief factor of G/Q is G-isomorphic to a G-chief factor of Q, then certain supplements to Q in G are G-conjugate.",

author = "Christopher Parker and P Rowley",

year = "2010",

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doi = "10.1112/blms/bdq002",

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AU - Rowley, P

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AB - Let G be a finite soluble group and Q be a nilpotent normal subgroup of G. Here we prove that if no G-chief factor of G/Q is G-isomorphic to a G-chief factor of Q, then certain supplements to Q in G are G-conjugate.

U2 - 10.1112/blms/bdq002

DO - 10.1112/blms/bdq002

M3 - Article

VL - 42

SP - 417

EP - 419

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

ER -

A note on conjugacy of supplements in finite soluble groups

Abstract

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