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Published in:
1991 | OriginalPaper | Chapter
Coset Representations and Orbits
Author : Dr. Shinsaku Fujita
Published in: Symmetry and Combinatorial Enumeration in Chemistry
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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Let H be a subgroup of a group G of finite order. Then we have a (right) coset decomposition: (5.1)$$G = H{g_1} + H{g_2} + \cdots + H{g_{r,}}$$ where g 1= I (identity). Let us consider a set of the cosets,(5.2)$$G/H = \left\{ {H{g_{1,}}H{g_{2,}} \cdots ,H{g_r}} \right\}.$$