Soluble Products of Finite Groups


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.

DOI Code: 10.1285/i15900932v30n1supplp1

Keywords: soluble group; product of groups; derived length

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