. (1377). QUASI-PERMUTATION REPRESENTATIONS OF METACYCLIC 2-GROUPS. , 9(3), -.
. "QUASI-PERMUTATION REPRESENTATIONS OF METACYCLIC 2-GROUPS". , 9, 3, 1377, -.
. (1377). 'QUASI-PERMUTATION REPRESENTATIONS OF METACYCLIC 2-GROUPS', , 9(3), pp. -.
. QUASI-PERMUTATION REPRESENTATIONS OF METACYCLIC 2-GROUPS. , 1377; 9(3): -.

QUASI-PERMUTATION REPRESENTATIONS OF METACYCLIC 2-GROUPS

Journal of Sciences, Islamic Republic of Iran
مقاله 8، دوره 9، شماره 3، 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.
آمار
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