• 대한수학회보
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• 제41권4호
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• pp.677-690
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• 2004

In this paper, we prove that the Birget-Rhodes expansion $\={G}^R$ of a group G is not a semi direct product of a semilattice by a group but it can be nicely embedded into such a semi direct product.

• 대한수학회보
• /
• 제43권2호
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• pp.353-375
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• 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.