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    Group Theory - Group of Even Order

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    Modern Algebra
    Group Theory (XXII)
    Group of Even Order

    If G is a group of even order, prove it has an element a which is not equal to e satisfying a^2 = e.

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    Modern Algebra
    Group Theory (XXII)
    Group of Even Order

    By:- Thokchom Sarojkumar Sinha

    If is a group of even order, prove it has an element satisfying .

    Proof:- Let be a group of even order.

    We have to ...

    Solution Summary

    It is proven that if G is a group of even order, it has an element a which is not equal to e satisfying a^2 = e. The solution is detailed and well presented.

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