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Full Frobenius Groups of Finite Morley Rank and the Feit-Thompson Theorem

Eric Jaligot
The Bulletin of Symbolic Logic
Vol. 7, No. 3 (Sep., 2001), pp. 315-328
DOI: 10.2307/2687751
Stable URL: http://www.jstor.org/stable/2687751
Page Count: 14
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Full Frobenius Groups of Finite Morley Rank and the Feit-Thompson Theorem
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Abstract

We show how the notion of full Frobenius group of finite Morley rank generalizes that of bad group, and how it seems to be more appropriate when we consider the possible existence (still unknown) of nonalgebraic simple groups of finite Morley rank of a certain type, notably with no involution. We also show how these groups appear as a major obstacle in the analysis of FT-groups, if one tries to extend the Feit-Thompson theorem to groups of finite Morley rank.

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