A note on conjugacy of supplements in finite soluble groups

Christopher Parker; Peter Rowley

doi:10.1112/blms/bdq002

A note on conjugacy of supplements in finite soluble groups

Christopher Parker, Peter Rowley

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

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. © 2010 London Mathematical Society.

Original language	English
Pages (from-to)	417-419
Number of pages	2
Journal	Bulletin of the London Mathematical Society
Volume	42
Issue number	3
DOIs	https://doi.org/10.1112/blms/bdq002
Publication status	Published - 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. {\textcopyright} 2010 London Mathematical Society.",

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AU - Rowley, Peter

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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. © 2010 London Mathematical Society.

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DO - 10.1112/blms/bdq002

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VL - 42

SP - 417

EP - 419

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 3

ER -

A note on conjugacy of supplements in finite soluble groups

Abstract

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