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Is there a "natural" transitive action of $SL_2(\mathbb{F}_5)$ on a set with 5 elements? Smart! I was looking at conjugacy classes of elements but didn't think of looking at the subgroup lattice. There's also a conjugacy class of subgroups isomorphic to the quaternion group $Q_8$. |
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awarded | Teacher |
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Mar
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answered | What is the purpose of Stirling's approximation to a factorial? |
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Mar
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awarded | Student |
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Mar
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asked | Is there a "natural" transitive action of $SL_2(\mathbb{F}_5)$ on a set with 5 elements? |
