Finitely generated soluble groups and their subgroups

Tara Brough; Derek  Holt

doi:10.1080/00927872.2011.651758

Finitely generated soluble groups and their subgroups

Tara Brough, Derek Holt

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

Abstract

We prove that every ﬁnitely generated soluble group that is not virtually
abelian has a subgroup of one of a small number of types.

Original language	English
Pages (from-to)	1790-1799
Number of pages	10
Journal	Communications in Algebra
Volume	41
Issue number	5
Early online date	9 May 2013
DOIs	https://doi.org/10.1080/00927872.2011.651758
Publication status	Published - 2013

Keywords

Infinite soluble groups
Locally virtually abelian groups

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10.1080/00927872.2011.651758

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title = "Finitely generated soluble groups and their subgroups",

abstract = "We prove that every ﬁnitely generated soluble group that is not virtuallyabelian has a subgroup of one of a small number of types.",

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AU - Holt, Derek

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N2 - We prove that every ﬁnitely generated soluble group that is not virtuallyabelian has a subgroup of one of a small number of types.

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KW - Infinite soluble groups

KW - Locally virtually abelian groups

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DO - 10.1080/00927872.2011.651758

M3 - Article

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VL - 41

SP - 1790

EP - 1799

JO - Communications in Algebra

JF - Communications in Algebra

IS - 5

ER -

Finitely generated soluble groups and their subgroups

Abstract

Keywords

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