GREEN`S EQUIVALENCES OF BIRGET-RHODES EXPANSIONS OF FINITE GROUPS

Title & Authors
GREEN`S EQUIVALENCES OF BIRGET-RHODES EXPANSIONS OF FINITE GROUPS
Choi, Keun-Bae; Lee, Ja-Eun; Lim, Yong-Do;

Abstract
In this paper we establish a counting method for the Green classes of the Birget-rhodes expansion of finite groups. As an application of the results, we derive explicit enumeration formulas for the Green classes for finite groups of order pq and a finite cyclic group of order $\small{p^m}$, where p and q are arbitrary given distinct prime numbers.
Keywords
Birget-Rhodes expansion;Green`s equivalence;
Language
English
Cited by
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