Quasi-permutation modules over finite groups
نویسندگان
چکیده
منابع مشابه
Permutation Presentations of Modules over Finite Groups
We introduce a notion of permutation presentations of modules over finite groups, and completely determine finite groups over which every module has a permutation presentation. To get this result, we prove that every coflasque module over a cyclic p-group is permutation projective.
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By a quasi-permutation matrix we mean a square matrix over the complex field C with non-negative integral trace. Thus, every permutation matrix over C is a quasipermutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a fa...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1973
ISSN: 0025-5645
DOI: 10.2969/jmsj/02530397