Linear groups of finite Morley rank

2008/01/25 by Alexandre Borovik, Borovik, Alexandre, Jeffrey Burdges +1
Mathematics · #03C60 #20G99 #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #math.GR #math.LO #msc:03C60 #msc:20G99

paper · pdf · doi:10.48550/arxiv.0801.3958

arxiv created 2008/11/15 · arxiv updated 2009/12/01

Abstract

We show that a non-algebraic simple group of finite Morley rank with a definable representation over a field has no involutions, and otherwise resembles a bad group. In particular, the modern form of the Cherlin-Zilber alebaricity conjecture hold for such groups.

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