´╗┐

Soluble Products of Finite Groups


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.

DOI Code: 10.1285/i15900932v30n1supplp1

Keywords: soluble group; product of groups; derived length

Full Text: PDF


Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.