For $p$ prime, does $SL(2, \mathbb F_p)$ always have a subgroup of order $(p-1)(p+1)$? (It does seem to be the case for $p=3,5,7,11$)
If yes, what are the generators?
I guess this is simple, but my group theory is really rusty. Thanks!
2026-03-31 19:49:20.1774986560
Does $SL(2, \mathbb F_p)$ always have a subgroup of order $(p-1)(p+1)$?
301 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in GROUP-THEORY
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