Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2006.05.01
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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.

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References

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