The mod-p cohomology rings of metacyclic groups
نویسندگان
چکیده
منابع مشابه
Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them
In this paper, we consider a class of connected oriented (with respect to Z/p) closed G-manifolds with a non-empty finite fixed point set, each of which is G-equivariantly formal, where G = Z/p and p is an odd prime. Using localization theorem and equivariant index, we give an explicit description of the mod p equivariant cohomology ring of such a G-manifold in terms of algebra. This makes ...
متن کاملTwisted Group Rings of Metacyclic Groups
Given a finite metacyclic group G, a central extension F having the projective lifting property over all fields is constructed. This extension and its group rings are used to investigate the faithful irreducible projective representations of G and the fields over which they can be realized. A full description of the finite metacyclic groups having central simple twisted group rings over fields ...
متن کاملring structures of mod p equivariant cohomology rings and ring homomorphisms between them
in this paper, we consider a class of connected oriented (with respect to z/p) closed g-manifolds with a non-empty finite fixed point set, each of which is g-equivariantly formal, where g = z/p and p is an odd prime. using localization theorem and equivariant index, we give an explicit description of the mod p equivariant cohomology ring of such a g-manifold in terms of algebra. this makes it p...
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In recent years we have been studying the cohomology rings of the sporadic simple groups and their relations with problems in algebra and homotopy theory. This work was motivated in part by results of D. Quillen [Q3] and J. Carlson [C], connecting H(G;K) (K a field of characteristic p) with the structure of modular representations of G, and also by the connection of finite group theory with sta...
متن کاملON THE MOD p COHOMOLOGY OF BPU(p)
We study the mod p cohomology of the classifying space of the projective unitary group PU(p). We first prove that conjectures due to J.F. Adams and Kono and Yagita (1993) about the structure of the mod p cohomology of the classifying space of connected compact Lie groups hold in the case of PU(p). Finally, we prove that the classifying space of the projective unitary group PU(p) is determined b...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1989
ISSN: 0022-4049
DOI: 10.1016/0022-4049(89)90107-2