대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제43권2호
  • /
  • Pages.353-375
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  • 2006
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 발행 : 2006.05.01
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초록

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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참고문헌

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피인용 문헌

  1. Recent developments around partial actions pp.2316-9028, 2018, https://doi.org/10.1007/s40863-018-0087-y