Integral Cohomology and Detection of -basic 2-groups
Abstract: In this paper we compute the cohomology of all -basic 2-groups with integral coefficients twisted by the orientation character . We also calculate appropriate restiction maps and thus prove that the cohomology of any -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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Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Received by editor(s): November 17, 1993
Received by editor(s) in revised form: February 11, 1995
Article copyright: © Copyright 1996 American Mathematical Society