Results 31 to 40 of about 6,390 (190)
The Classical Involution Theorem for Groups of Finite Morley Rank
, 2001 A. Berkman
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Book Review: Simple groups of finite Morley rank [PDF]
Bulletin of the American Mathematical Society, 2010 Dugald Macpherson
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Steinberg's torsion theorem in the context of groups of finite Morley rank [PDF]
, 2009 Adrien Deloro
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Groups of finite Morley rank with a generically sharply multiply transitive action [PDF]
Journal of Algebra, 2018 A. Berkman, A. Borovik
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Groups of finite Morley rank with a generically multiply transitive action on an abelian group [PDF]
Model Theory, 2021 We investigate the configuration where a group of finite Morley rank acts definably and generically m -transitively on an elementary abelian p -group of Morley rank n , where p is an odd prime, and m ⩾ n .
A. Berkman, A. Borovik
semanticscholar +1 more source
Linear groups of finite Morley rank [PDF]
Journal of the Institute of Mathematics of Jussieu, 2008 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.
Borovik, Alexandre, Burdges, Jeffrey
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Ranks for Families of Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2019 The rank for families of theories is similar to Morley rank and can be considered as a measure for complexity or richness of these families. Increasing the rank by extensions of families we produce more rich families and obtaining families with the ...
In. I. Pavlyuk, S.V. Sudoplatov
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Moufang sets of finite Morley rank of odd type [PDF]
, 2014 We show that for a wide class of groups of finite Morley rank the presence of a split $BN$-pair of Tits rank $1$ forces the group to be of the form $\operatorname{PSL}_2$ and the $BN$-pair to be standard.
Wiscons, Joshua
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, 2015 We classify irreducible actions of connected groups of finite Morley rank on abelian groups of Morley rank ...
Borovik, Alexandre, Deloro, Adrien
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A GENERATION THEOREM FOR GROUPS OF FINITE MORLEY RANK [PDF]
Journal of Mathematical Logic, 2008 We deal with two forms of the "uniqueness cases" in the classification of large simple K*-groups of finite Morley rank of odd type, where large means the 2-rank m2(G) is at least three. This substantially extends results known for even larger groups having Prüfer 2-rank at least three, so as to cover the two groups PSp4and G2.
Burdges, Jeffrey, Cherlin, Gregory
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