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- W3106941444 abstract "Let [Formula: see text] be a group acting on an abelian group [Formula: see text] via a homomorphism [Formula: see text] and let a 2-cocycle [Formula: see text]. By Schreier’s theorem, the pair [Formula: see text] determines a group [Formula: see text] which can arise as a non-split extension of [Formula: see text] by [Formula: see text], denoted by [Formula: see text] and called the perturbed semidirect product of [Formula: see text] by [Formula: see text] under [Formula: see text]. In this paper, we classify the perturbed semidirect products and give some of their properties. Furthermore, we find necessary and sufficient conditions for two perturbed semidirect products to be isomorphic." @default.
- W3106941444 created "2020-12-07" @default.
- W3106941444 creator A5081708734 @default.
- W3106941444 date "2021-02-05" @default.
- W3106941444 modified "2023-09-27" @default.
- W3106941444 title "On non-split abelian extensions II" @default.
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- W3106941444 doi "https://doi.org/10.1142/s1793557121501643" @default.
- W3106941444 hasPublicationYear "2021" @default.
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