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Dec 6, 2022 at 8:05 vote accept Moomoo Angel line
Dec 6, 2022 at 4:11 comment added Moomoo Angel line Thank you very much!
Dec 6, 2022 at 2:16 comment added Richard Lyons Try Rotman or Isaacs.
Dec 5, 2022 at 20:58 comment added LSpice Thank you! Though I knew many of these, I had found the ones that I tried (Aschbacher's and Huppert's, if I remember correctly—it was long ago) rather forbidding reading. Are you in a position to recommend any of them as particularly appropriate for self-study (for someone whose research is in algebraic groups, but hasn't previously worried overmuch about the structure of finite groups)?
Dec 5, 2022 at 20:06 comment added Richard Lyons Most texts containing substantial amounts of finite group theory contain Hall's theorems. They should not require an elaborate run-up. I'd mention "The Theory of Groups" by Marshall Hall (and dedicated to Philip Hall), and "An Introduction to the Theory of Groups" by Rotman. Also "Finite Soluble Groups" by Doerk and Hawkes, "Finite Group Theory" by Gorenstein, "Finite Group Theory" by Aschbacher, "Finite Group Theory" by Isaacs, "The Theory of Finite Groups" by Kurzweil and Stellmacher. There are also massive texts by Huppert ("Endliche Gruppen I") and Suzuki "Group Theory I,II".
Dec 5, 2022 at 19:08 comment added LSpice I can look up Hall's extension of Sylow's theorem, but I wouldn't even have known it existed if not for this answer. Can you recommend any good group-theory texts for someone like me who's never heard of this result?
Dec 5, 2022 at 17:54 history answered Richard Lyons CC BY-SA 4.0