|ISSN 1088-6842(online) ISSN 0025-5718(print)|
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.
Retrieve articles in Mathematics of Computation of the American Mathematical Society with MSC (1991): 20J06
Retrieve articles in all journals with MSC (1991): 20J06