GREEN'S EQUIVALENCES OF BIRGET-RHODES EXPANSIONS OF FINITE GROUPS
Keunbae Choi, Ja-Eun Lee, Yongdo Lim · Bulletin of the Korean Mathematical Society · 2006
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.