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, 15 June 2003, Pages 316-326
Transfers and regular elements in cohomology algebras of finite groups
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Department of Mathematical Sciences, Faculty of Science, Ehime University, Matsuyama 790-8577, Japan
Communicated by Leonard L. Scott, Jr.
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A characterization of regular homogeneous elements in mod p cohomology algebras of finite groups will be given in terms of transfer maps defined by modules, which are introduced by Carlson, Peng, and Wheeler [J. Algebra 204 (1].
Transfer maps
D.J. Benson
Representations and Cohomology II: Cohomology of Groups and Modules
Cambridge Stud. Adv. Math. (2nd edition), 31, Cambridge Univ. Press, Cambridge (1991)
J.F. Carlson
Modules and Group Algebras
Lectures Math. ETH Zürich, Birkh?user, Basel/Boston/Berlin (1996)
J.F. Carlson, C. Peng
Relative projectivity and ideals in cohomology rings
J. Algebra, 183 (1996), pp. 929-948
J.F. Carlson, C. Peng, W.W. Wheeler
Transfer maps and virtual projectivity
J. Algebra, 204 (1998), pp. 286-311
The Cohomology of Groups
Oxford Math. Monogr., Oxford Univ. Press, New York (1991)
J. Rickard
Idempotent modules in the stable category
J. London Math. Soc., 56 (2) (1997), pp. 149-170
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