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Mathematical logic, algebra and number theory
Subextensions for co-induced modules
Andrei V. Zavarnitsine Sobolev Institute of Mathematics,
4, Koptyug av.,
630090, Novosibirsk, Russia
Abstract:
Using cohomological methods, we find 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:
subextension, co-induced module, group cohomology.
Received October 20, 2017, published May 11, 2018
Citation:
Andrei V. Zavarnitsine, “Subextensions for co-induced modules”, Sib. Èlektron. Mat. Izv., 15 (2018), 554–560
Linking options:
https://www.mathnet.ru/eng/semr935 https://www.mathnet.ru/eng/semr/v15/p554
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