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arXiv · 1710.04832

Subextensions for co-induced modules

Andrei V. Zavarnitsine
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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.

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Andrei V. Zavarnitsine. 2017-10-13. Subextensions for co-induced modules. https://doi.org/10.17377/semi.2018.15.044

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