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  3. the number of involutions in g is |g|/4, and every

The number of involutions in G is |G|/4, and every right coset of a Sylow...

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The number of involutions in G is |G|/4, and every right coset of a Sylow 2-subgroup S of G not contained in NG(S) contains exactly one involution.

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The number of Sylow 2subgroups of G is G NGS G12 Each of them contains three involutions and any two of them have trivial intersection byEvery Sylow 2subgroup of G is selfcentralising Moreover every two distinct Sylow 2subgroups of G have    See Answer
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