Groups Generated by Two Conjugates of an Element of Order 3

A Al-roqi; Paul Flavell

doi:10.1080/00927870902941695

Groups Generated by Two Conjugates of an Element of Order 3

A Al-roqi, Paul Flavell

Mathematics

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Abstract

Let G be a finite soluble group and P a subgroup of order 3. In this article we prove some results about the soluble groups generated by 2 conjugates of P and we use these results to produce some properties of G.

Original language	English
Pages (from-to)	3511-3520
Number of pages	10
Journal	Communications in Algebra
Volume	38
Issue number	9
DOIs	https://doi.org/10.1080/00927870902941695
Publication status	Published - 1 Sept 2010

Keywords

Finite soluble group
Fitting height

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10.1080/00927870902941695

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title = "Groups Generated by Two Conjugates of an Element of Order 3",

abstract = "Let G be a finite soluble group and P a subgroup of order 3. In this article we prove some results about the soluble groups generated by 2 conjugates of P and we use these results to produce some properties of G.",

keywords = "Finite soluble group, Fitting height",

author = "A Al-roqi and Paul Flavell",

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T1 - Groups Generated by Two Conjugates of an Element of Order 3

AU - Al-roqi, A

AU - Flavell, Paul

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N2 - Let G be a finite soluble group and P a subgroup of order 3. In this article we prove some results about the soluble groups generated by 2 conjugates of P and we use these results to produce some properties of G.

AB - Let G be a finite soluble group and P a subgroup of order 3. In this article we prove some results about the soluble groups generated by 2 conjugates of P and we use these results to produce some properties of G.

KW - Finite soluble group

KW - Fitting height

U2 - 10.1080/00927870902941695

DO - 10.1080/00927870902941695

M3 - Article

SN - 1532-4125

VL - 38

SP - 3511

EP - 3520

JO - Communications in Algebra

JF - Communications in Algebra

IS - 9

ER -

Groups Generated by Two Conjugates of an Element of Order 3

Abstract

Keywords

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