Inequalities for Baer invariants of finite groups

John Burns; Graham Ellis

doi:10.4153/CMB-1998-051-3

Inequalities for Baer invariants of finite groups

John Burns
, Graham Ellis

Mathematics

University of Galway

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

21 Citations (Scopus)

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 |γ_c+1(G)| given that G/Z_c(G) is a finite p-group with prescribed order and number of generators.

Original language	English
Pages (from-to)	385-391
Number of pages	7
Journal	Canadian Mathematical Bulletin
Volume	41
Issue number	4
DOIs	https://doi.org/10.4153/CMB-1998-051-3
Publication status	Published - Dec 1998

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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 |γc+1(G)| given that G/Zc(G) is a finite p-group with prescribed order and number of generators.

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DO - 10.4153/CMB-1998-051-3

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VL - 41

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JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

IS - 4

ER -

Inequalities for Baer invariants of finite groups

Abstract

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