It is straightforward if G is abelian, but appears to be difficult to prove for non-abelian groups. Since, it has been asked in supplementary exercise of Herstein's group theory, I guess some elementary group theoretic proof exists. Can anyone please give me hint. I will be grateful.
2026-02-23 08:27:01.1771835221
Number of solutions to $x^n=e$ in group G is divisible by n, where n divides o(G)
88 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in GROUP-THEORY
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