On a Generalization of the Notion of Semidirect Product of Groups

Details On a Generalization of the Notion of Semidirect Product of Groups On a Generalization of the Notion of Semidirect Product of Groups

2010-12-06

arxiv.org/abs/1012.1340v1

Mathematics

Algebraic Topology

Scientific paper

We introduce an external version of the internal r-fold semidirect product of groups (SDP) of Carrasco and Cegarra. Just as for the classical external SDP, certain algebraic data are required to guarantee associativity of the construction. We give an algorithmic procedure for computing axioms characterizing these data. Additionally, we give criteria for determining when a family of homomorphisms from the factors of an SDP into a monoid or group assemble into a homomorphism on the entire SDP. These tools will be used elsewhere to give explicit algebraic axioms for hypercrossed complexes, which are algebraic models for classical homotopy types introduced by Carrasco and Cegarra.

Affiliated with

Also associated with

No associations

Rating

On a Generalization of the Notion of Semidirect Product of Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a Generalization of the Notion of Semidirect Product of Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a Generalization of the Notion of Semidirect Product of Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-479295