Factor Groups, Permutation Representations, Finite Point Groups
In order to prove the conjecture that ‘the order of the subgroup divides the order of the group’ in section 3.1, we introduced certain subsets of a group called right cosets. As pointed out in definition 3.1.1 we could equally well have considered left cosets. This leads at once to certain questions.
KeywordsAbelian Group Symmetry Group Normal Subgroup Conjugacy Class Simple Group
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