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On Sub-class Sizes Of Finite Groups
For every element x of a finite group G, there always exists a unique minimal subnormal subgroup, say, Gx of G such that x∈Gx. The sub-class of G in which x lies is defined by {xg∣g∈Gx}. The aim of this paper is to investigate the influence of the sub-class sizes on the structure of finite groups.
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