outskirts 发表于 2025-3-28 14:51:17

Base SizesIf . acts on a set ., a base for the action is defined to be a set of elements of . whose centralizers in . intersect trivially. The focus in this chapter is to prove a number of results, mostly by Seress and Espuelas, that give minimal base sizes for a number of different types of solvable group actions.

anaerobic 发表于 2025-3-28 19:00:18

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jabber 发表于 2025-3-28 23:32:58

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丧失 发表于 2025-3-29 05:41:59

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排出 发表于 2025-3-29 10:24:55

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紧张过度 发表于 2025-3-29 12:21:42

The Fixed Point Subspace of an Elemented-point subspaces than we proved in earlier chapters. We then use these improved bounds in the discussion of Dolfi’s powerful result, which shows if . is solvable and acts coprimely on . via automorphisms, then there are two elements of . whose centralizers in . intersect trivially. This proof draw

PET-scan 发表于 2025-3-29 15:39:01

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comely 发表于 2025-3-29 23:43:01

Huppert’s , Conjectureable group .. We begin with a subtle variation of Gluck’s permutation lemma, and then use another large orbit theorem to prove the best currently known bound for Huppert’s conjecture for solvable groups.

豪华 发表于 2025-3-30 03:29:56

Other Applications of Large Orbit Theoremsscussing certain induction and restriction theorems that require a variation of Dolfi’s large orbit theorem from Chapter 8. We then discuss a result of Moreto and Wolf that determines that number of characters needed to “cover” the order of the solvable group .. In the last section we discuss, witho

fender 发表于 2025-3-30 04:24:18

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