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QUASI-PERMUTATION REPRESENTATIONS OF METACYCLIC 2-GROUPS | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 8، دوره 9، شماره 3، آذر 1998 اصل مقاله (544.2 K) | ||
چکیده | ||
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 faithful representation of G by quasi-permutation matrices over the rational field Q, and let c(G) be the minimal degree of a faithful representation of G by complex quasi-permutation matrices. In this paper, we will calculate the irreducible modules and characters of metacyclic 2-groups and we also find c(G), q(G) and p(G) for these groups. | ||
عنوان مقاله [English] | ||
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چکیده [English] | ||
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آمار تعداد مشاهده مقاله: 937 تعداد دریافت فایل اصل مقاله: 1,133 |