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proof or counterexamples?

- Thread starter arshavin
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- #1

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proof or counterexamples?

- #2

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No - one reason to see immediately why, is because if it was true, then Lagrange's theorem should be a two way implication.

Simplest example via wikipedia is [tex]\mathbb{A}_4[/tex] with has order 12 and no subgroup of order 6.

Simplest example via wikipedia is [tex]\mathbb{A}_4[/tex] with has order 12 and no subgroup of order 6.

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