Soluble Products of Finite Groups

Authors

  • John Cossey

DOI:

https://doi.org/10.1285/i15900932v30n1supplp1

Keywords:

soluble group, product of groups, derived length

Abstract

If $G$ is the soluble product of its subgroups $A$ and $B$, then a natural question is how the structure of $G$ is influenced by the structure of $A$ and $B$. In particular, can the derived length be bounded in terms of invariants of $A$ and $B$. There are many results in this direction, but very little is known about best possible bounds. We survey some of these results.

Author Biography

John Cossey

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Published

15-10-2011

Issue

Volume 30, suppl. 1 (2010)

Section

Articoli

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