Integral cohomology and detection of $w$-basic 2-groups
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- Math. Comp. 65 (1996), 291-306 Request permission
Abstract:
In this paper we compute the cohomology $H^*(G;Z^w)$ of all $w$-basic 2-groups $(G,w)$ with integral coefficients twisted by the orientation character $w$. We also calculate appropriate restiction maps and thus prove that the cohomology of any $w$-basic group is detected by subgroups isomorphic to one of five types, and we provide a sample application of this main theorem.References
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Additional Information
- Kimberly Pearson
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- Email: klpearso@ucs.indiana.edu
- Received by editor(s): November 17, 1993
- Received by editor(s) in revised form: February 11, 1995
- © Copyright 1996 American Mathematical Society
- Journal: Math. Comp. 65 (1996), 291-306
- MSC (1991): Primary 20J06
- DOI: https://doi.org/10.1090/S0025-5718-96-00679-5
- MathSciNet review: 1322893