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Properties of soluble groups detectable at their metabelian subgroups

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  12 January 2010

Raul Moreira Behs  and
Rudolf Maier
Raul Moreira Behs
Affiliation:
Departamento de Matemática—IE, Universidade de Brasília, 70910-900 Brasília—DF, Brazil, Email: (raul.behs@hotmail.com, maierr@mat.unb.br)
Rudolf Maier
Affiliation:
Departamento de Matemática—IE, Universidade de Brasília, 70910-900 Brasília—DF, Brazil, Email: (raul.behs@hotmail.com, maierr@mat.unb.br)
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Abstract

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In a soluble group G, if the metabelian subgroups have finite (or polycyclic, or Černikov) quotients by their centres, then so too does G.

Keywords

soluble groupsmetabelian subgroupscentrequotientfiniteness conditions

MSC classification

Secondary: 20F99: None of the above, but in this section
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 1 , February 2010 , pp. 31 - 38
Copyright
Copyright © Edinburgh Mathematical Society 2010