Inequalities for Baer invariants of finite groups

John Michael Burns

Inequalities for Baer invariants of finite groups

John Michael Burns

Mathematics

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Abstract

In this note we further our investigation of Baer invariants of groups by obtaining, as consequences of an exact sequence of A. S.-T. Lue, some numerical inequalities for their orders, exponents, and generating sets. An interesting group theoretic corollary is an explicit bound for \gamma(c+1)(G)\ given that G Z(c)(G) is a finite p-group with prescribed order and number of generators.

Original language	English (Ireland)
Number of pages	7
Journal	CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
Volume	41
Publication status	Published - 1 Dec 1998

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Burns, J,Graham, E

Cite this

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abstract = "In this note we further our investigation of Baer invariants of groups by obtaining, as consequences of an exact sequence of A. S.-T. Lue, some numerical inequalities for their orders, exponents, and generating sets. An interesting group theoretic corollary is an explicit bound for \textbackslash{}gamma(c+1)(G)\textbackslash{} given that G Z(c)(G) is a finite p-group with prescribed order and number of generators.",

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AB - In this note we further our investigation of Baer invariants of groups by obtaining, as consequences of an exact sequence of A. S.-T. Lue, some numerical inequalities for their orders, exponents, and generating sets. An interesting group theoretic corollary is an explicit bound for \gamma(c+1)(G)\ given that G Z(c)(G) is a finite p-group with prescribed order and number of generators.

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VL - 41

JO - CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES

JF - CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES

ER -

Inequalities for Baer invariants of finite groups

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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