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math.RA2014★ 12 cited
Which finite simple groups are unit groups?
Christopher Davis, Tommy Occhipinti
We prove that if is a finite simple group which is the unit group of a ring, then is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order $…
math.RA2013
Which alternating and symmetric groups are unit groups?
Christopher Davis, Tommy Occhipinti
We prove there is no ring with unit group isomorphic to S_n for n \geq 5 and that there is no ring with unit group isomorphic to A_n for n \geq 5, n \neq 8. We give examples of rin…