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 Green's equivalences of Birget-Rhodes expansions of finite groups Bull. Korean Math. Soc. 2006 Vol. 43, No. 2, 353-375 Published online June 1, 2006 Keunbae Choi, Jaeun Lee, and Yongdo Lim Jeju National University of Education, Yeungnam University, Kyungpook National University 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 MSC numbers : 20M18 Downloads: Full-text PDF