Crossed product of groups. Applications

Details Crossed product of groups. Applications Crossed product of groups. Applications

2008-05-27

arxiv.org/abs/0805.4077v2

Mathematics

Group Theory

Final version. To appear in AJSE

Scientific paper

We survey the extensions of a group by a group using crossed products instead
of exact sequences of groups. The approach has various advantages, one of them
being that the crossed product is an universal object. Several new applications
are given, a general Schreier type theorem is proved and a few open problems
are left.

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