A seven-term exact sequence for the cohomology of a group extension

Details A seven-term exact sequence for the cohomology of a group extension A seven-term exact sequence for the cohomology of a group extension

2011-03-21

arxiv.org/abs/1103.4052v2

Mathematics

Group Theory

Updated version, new cocycle description added

Scientific paper

In this paper, we construct a seven-term exact sequence involving the cohomology groups of a group extension. Although the existence of such a sequence can be derived using spectral sequence arguments, there is little knowledge about some of the maps occuring in the sequence, limiting its usefulness. Here we present a construction using only very elementary tools, always related to the notion of conjugation in a group. This results in a complete and usable description of all the maps, which we describe both on cocycle level as on the level of the interpretations of low dimensional cohomology groups (e.g. group extensions).

Affiliated with

Also associated with

No associations

Rating

A seven-term exact sequence for the cohomology of a group extension 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 A seven-term exact sequence for the cohomology of a group extension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A seven-term exact sequence for the cohomology of a group extension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-323477