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A Bound for the Degree of H2(G, Zp)

Published online by Cambridge University Press:  20 November 2018

Sneh Sharma
Sneh Sharma*
Affiliation:
Kurukshetra University, Kurukshetra, India
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Let G be a group and N a trivial G-module. We say an element ξ ∊ H2 (G, N) is of degree ≦ n if a 2-cocycle representative of ξ is a polynomial 2-cocycle of degree ≦ n [1], Let PnH2(G, N) denote the subgroup of H2(G, N) consisting of elements with degree ≦ n. Then we have a nitration

of H2(G, N). We say that the degree of H2(G, N) is ≦ n if PnH2(G, N) = H2(G, N).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 4 , August 1974 , pp. 1010 - 1015
Copyright
Copyright © Canadian Mathematical Society 1974

References

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