Fixed Point Polynomials of Permutation Groups
نویسندگان
چکیده
منابع مشابه
Fixed Point Polynomials of Permutation Groups
In this paper we study, given a group G of permutations of a finite set, the so-called fixed point polynomial ∑n i=0 fix i, where fi is the number of permutations in G which have exactly i fixed points. In particular, we investigate how root location relates to properties of the permutation group. We show that for a large family of such groups most roots are close to the unit circle and roughly...
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Let A = kG, the group algebra of some finite group where the characteristic of the field k divides |G|. In contrast to working over the complex field, the kGmodules are not usually semisimple. If a Sylow p-subgroup of G is not cyclic then there are infinitely many indecomposable kG-modules, and we usually enjoy little control over the category of such modules. It is therefore an important probl...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2013
ISSN: 1077-8926
DOI: 10.37236/2955