منابع مشابه
A Note on Fuzzy Symmetric Groups 1
The purpose of this note is to give an example to counter the result of [5] and to find the cardinality of the image of a fuzzy symmetric subgroups of S4, S5 and Sn. Mathematics Subject Classification: 03G10, 20B30, 20B35
متن کاملA NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS
The commuting graph of a group is a graph with vertexes set of a subset of a group and two element are adjacent if they commute. The aim of this paper is to obtain the automorphism group of the commuting graph of a conjugacy class in the symmetric groups. The clique number, coloring number, independent number, and diameter of these graphs are also computed.
متن کاملOn defect groups for generalized blocks of the symmetric group
In a paper of 2003, B. Külshammer, J. B. Olsson and G. R. Robinson defined l-blocks for the symmetric groups, where l > 1 is an arbitrary integer. In this paper, we give a definition for the defect group of the principal l-block. We then check that, in the Abelian case, we have an analogue of one of M. Broué’s conjectures.
متن کاملA Note on Commuting Graphs for Symmetric Groups
The commuting graph C(G,X) , where G is a group and X a subset of G, has X as its vertex set with two distinct elements of X joined by an edge when they commute in G. Here the diameter and disc structure of C(G,X) is investigated when G is the symmetric group and X a conjugacy class of G.
متن کاملA Note on Cartan Matrices for Symmetric Groups
Using generating functions a very simple explicit formula for the determinants of the p-Cartan matrices of symmetric groups is given. Our method works also when p is a composite number.
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1951
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000010102