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Article overview
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Minimal connected simple groups of finite Morley rank with strongly embedded subgroups | Jeffrey Burdges
; Gregory Cherlin
; Eric Jaligot
; | Date: |
27 Nov 2007 | Abstract: | We show that a minimal nonalgebraic simple groups of finite Morley rank has
Prufer rank at most 2, and eliminates tameness from Cherlin and Jaligot’s past
work on minimal simple groups. The argument given here begins with the strongly
embedded minimal simple configuration of Borovik, Burdges and Nesin. The
0-unipotence machinery of Burdges’s thesis is used to analyze configurations
involving nonabelian intersections of Borel subgroups. The number theoretic
punchline of Cherlin and Jaligot has been replaced with a new genericity
argument. | Source: | arXiv, 0711.4165 | Services: | Forum | Review | PDF | Favorites |
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