Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-20T01:47:02.991Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

1. Babakhanian, A., Cohomological methods in group theory (Marcel Dekkar Inc., New York, 1972).Google Scholar
2. Jennings, S. A., The structure of the group ring of a p-group over a modular fields Trans. Amer. Math. Soc. 50 (1941), 175–185.Google Scholar
3. Passi, I. B. S., Induced central extensions, J. Algebra 16 (1970), 27–39.Google Scholar
4. Passi, I. B. S., Polynomial maps on groups, II (to appear).Google Scholar
5. Passi, I. B. S. and U. Stammbach, A filtration ofSchur multiplicator (to appear).Google Scholar
6. Passi, I. B. S. and Vermani, L. R., The inflation homomorphism, J. London Math. Soc. 2 (1972), 129–136.Google Scholar
7. Sandling, R., The modular group ring of p-groups, Ph.D. Thesis, University of Chicago, 1969 Google Scholar
8. Vermani, L. R., Nilpotent groups, Ph.D. Thesis, Kurukshetra University, 1970.Google Scholar