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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Integral Cohomology and Detection of $w$-basic 2-groups


Author: Kimberly Pearson
Journal: Math. Comp. 65 (1996), 291-306
MSC (1991): Primary 20J06
MathSciNet review: 1322893
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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.


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Additional Information

Kimberly Pearson
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email: klpearso@ucs.indiana.edu

DOI: http://dx.doi.org/10.1090/S0025-5718-96-00679-5
PII: S 0025-5718(96)00679-5
Received by editor(s): November 17, 1993
Received by editor(s) in revised form: February 11, 1995
Article copyright: © Copyright 1996 American Mathematical Society