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Properties of soluble groups detectable at their metabelian subgroups

Published online by Cambridge University Press:  12 January 2010

Raul Moreira Behs
Affiliation:
Departamento de Matemática—IE, Universidade de Brasília, 70910-900 Brasília—DF, Brazil, Email: ([email protected], [email protected])
Rudolf Maier
Affiliation:
Departamento de Matemática—IE, Universidade de Brasília, 70910-900 Brasília—DF, Brazil, Email: ([email protected], [email protected])
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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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2010