Some aspects of group theory
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چکیده
Our goal in this section will be to collect some standard examples of finite groups. The main emphasis will be on realizing them as subgroups of GL(n,R) or GL(n,C). Cyclic groups: For a natural number n, let Z/nZ be the standard cyclic group of order n. We denote its elements by 0, 1, . . . , n − 1, and 1 is a generator. Another model for the cyclic group of order n is the nth roots of unity, often denoted by μn:
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