Výsledky vyhledávání - "Berkman, Ayşe"

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Primitive permutation groups of finite Morley rank and affine type

Autor: Berkman, Ayşe, Borovik, Alexandre

We give a review of one of the lines in development of the theory of groups of finite Morley rank. These groups naturally appear in model theory as model-theoretic analogues of Galois groups, therefore their actions and their role as permutation grou

Externí odkaz: http://arxiv.org/abs/2405.07307

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Groups Acting Generically Multiply Transitively on Solvable Groups

Autor: Berkman, Ayşe, Borovik, Alexandre

In this work, we complete the classification of generically multiply transitive actions of groups on solvable groups in the finite Morley rank setting. We prove that if $G$ is a connected group of finite Morley rank acting definably, faithfully and g

Externí odkaz: http://arxiv.org/abs/2402.06987

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Groups of finite Morley rank with a generically multiply transitive action on an abelian group

Autor: Berkman, Ayşe, Borovik, Alexandre

Publikováno v: Model Th. 1 (2022) 1-14

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 $m\geqslant n$. We conclude that $m=n$, and the

Externí odkaz: http://arxiv.org/abs/2107.09997

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Sharply 2-transitive groups of finite Morley rank

Autor: Altinel, Tuna, Berkman, Ayse, Wagner, Frank Olaf

A sharply 2-transitive permutation group of finite Morley rank and characteristic 2 splits; a split sharply 2-transitive permutation group of finite Morley rank and characteristic different from 2 is the group of affine transformations of an algebrai

Externí odkaz: http://arxiv.org/abs/1811.10854

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Groups of finite Morley rank with a generically sharply multiply transitive action

Autor: Berkman, Ayşe, Borovik, Alexandre

We prove that if $G$ is a group of finite Morley rank which acts definably and generically sharply $n$-transitively on a connected abelian group $V$ of Morley rank $n$ with no involutions, then there is an algebraically closed field $F$ of characteri

Externí odkaz: http://arxiv.org/abs/1802.05222

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Groups of Finite Morley Rank with a Pseudoreflection Action

Autor: Berkman, Ayse, Borovik, Alexandre

Publikováno v: J. Algebra 368 (2012) 237-250

In this work, we give two characterisations of the general linear group as a group $G$ of finite Morley rank acting on an abelian connected group $V$ of finite Morley rank definably, faithfully and irreducibly. To be more precise, we prove that if th

Externí odkaz: http://arxiv.org/abs/1112.3739

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