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Abstract: Let $G$ be a compact Lie group, $H$ a closed subgroup of maximal rank and $X$ a topological $G$-space. We obtain a variety of results concerning the structure of the $H$-equivariant K-ring $...
Abstract: We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the p...
In this paper, we show that if p is a prime and G is a p-solvable group, then |G: Op(G)|p  (b(G)p/p)1/(p−1) where b(G) is the largest character degree of G. If p is an odd prime that is not a M...
Let Fq be a field of characteristic p with q elements. It is known that the degrees of the irreducible characters of the Sylow p-subgroup of GLn(Fq) are powers of q, see Isaacs [4]. On the other hand ...
We prove that finite groups have the same complex character tables iff the group algebras are twisted forms of each other as Drinfel'd quasi-bialgebras or iff there is non-associative bi-Galois algeb...

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