Geodesic
Subextensions for co-induced modules
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 554-560

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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. 
@article{SEMR_2018_15_a14,
     author = {Andrei V. Zavarnitsine},
     title = {Subextensions for co-induced modules},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {554--560},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a14/}
}
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Andrei V. Zavarnitsine. Subextensions for co-induced modules. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 554-560. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a14/