Subextensions for co-induced modules
Group Theory
2018-05-15 v1
Abstract
Using cohomological methods, we prove a criterion for the embedding of a group extension with abelian kernel into the split extension of a co-induced module. This generalises some earlier similar results. We also prove an assertion about the conjugacy of complements in split extensions of co-induced modules. Both results follow from a relation between homomorphisms of certain cohomology groups.
Keywords
Cite
@article{arxiv.1710.04832,
title = {Subextensions for co-induced modules},
author = {Andrei V. Zavarnitsine},
journal= {arXiv preprint arXiv:1710.04832},
year = {2018}
}