Antima jangid Asked a Question
November 23, 2021 10:08 ampts 30 pts
145. There exists a finite abelian group G containing exactly 60 elements of order 2. (T/F) (TIFR 2017)
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  • Navdeep goyal 1
    we know O(a)|O(G) if G contain 2 order element then order of G is even. we know order of identity is one remaining elements order more then one. if G contain 2 order element then n...
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  • Ishu 1 Best Answer
    Suppose the order of G is 2n. Since order of identity is always 1 i.e. |e|=1. So we have left only2n−1 element which is odd in number. Elements which are not their own inverses, th...
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