Abstract:Let G be a finite group and M a maximal subgroup of G.
pair of subgroups (C, D) satisfying conditions (i) and (iii) and a property thatIn this paper, we introduce the degree of θ-pairs, denoted by dθ(G) as the ratio |θ(G)|/m(G), where θ(G) is the union of all θ-pairs of the maximal subgroups of G and m(G) is the total number of distinct maximal subgroups of G. Similarly, we define the degrees of maximal θ-pairs, θ -pairs and maximal θ -pairs of a finite group G and give some evaluations on the above degrees fo… Show more
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