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Cohomology of groups with metacyclic Sylow $p$-subgroups


Authors: Jill Dietz, John Martino and Stewart Priddy
Journal: Proc. Amer. Math. Soc. 124 (1996), 2261-2266
MSC (1991): Primary 55R35; Secondary 20J06
DOI: https://doi.org/10.1090/S0002-9939-96-03389-8
MathSciNet review: 1328344
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Abstract: We determine the cohomology algebras $H^{*}(G;\mathbf {F}_{p})$ for all groups $G$ with a metacyclic Sylow $p$-subgroup. The complete $p$-local stable decomposition of the classifying space $BG$ is also determined.

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Additional Information

Jill Dietz
Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
Address at time of publication: Department of Mathematics and Computer Science, Gettysburg College, Gettysburg, Pennsylvania 17325
Email: jdietz@gettysburg.edu

John Martino
Affiliation: Department of Mathematics and Statistics, Western Michigan University, Kalamazoo, Michigan 49008
Email: martino@wmich.edu

Stewart Priddy
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email: s_priddy@math.nwu.edu

DOI: https://doi.org/10.1090/S0002-9939-96-03389-8
Received by editor(s): January 26, 1995
Additional Notes: The third author is partially supported by NSF Grant DMS-9400235.
Communicated by: Thomas Goodwillie
Article copyright: © Copyright 1996 American Mathematical Society