Assertion: abelian group's subgroup | /r/HasProperty | generalized quaternion group
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Source sentences:
text: In particular, for a finite field F with odd characteristic, the 2-Sylow subgroup of SL 2 (F) is non-abelian and has only one subgroup of order 2, so this 2-Sylow subgroup must be a generalized quaternion group, (Gorenstein 1980, p. 42).