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On loop extensions and cohomology of loops
Benítez, Rolando Ji...
On loop extensions and cohomology of loops by Benítez, Rolando Jiménez ( Author )
N.A
17-02-2015
In this paper are defined cohomology-like groups that classify loop extensions satisfying a given identity in three variables for association identities, and in two variables for the case of commutativity. It is considered a large amount of identities. This groups generalize those defined in works of Nishigori [2] and of Jhonson and Leedham-Green [4]. It is computed the number of metacyclic extensions for trivial action of the quotient on the kernel in one particular case for left Bol loops and in general for commutative loops.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1502.04768
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