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http://dx.doi.org/10.4134/BKMS.2006.43.2.353

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

Choi, Keun-Bae (DEPARTMENT OF MATHEMATICS EDUCATION, JEJU NATIONAL UNIVERSITY OF EDUCATION)
Lee, Ja-Eun (DEPARTMENT OF MATHEMATICS, YEUNGNAM UNIVERSITY)
Lim, Yong-Do (DEPARTMENT OF MATHEMATICS, KYUNGPOOK NATIONAL UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 353-375 More about this Journal

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 $p^m$ , where p and q are arbitrary given distinct prime numbers.

Keywords

Birget-Rhodes expansion; Green's equivalence;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

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