activity
20112026
most citedGroups of finite Morley rank with a generically sharply multiply transitive action

9 citations · 26 across the 6 of their papers we have counts for

collaborators

6 papers

math.GR2026

The Şiş Kebap Theorem: A Generic Identification Theorem for Groups of Finite Morley Rank

Ayşe Berkman, Alexandre V. Borovik

This paper contains a new version of a final identification theorem for the `generic' groups of finite Morley rank, developing further the results of [4] and [5]. It is prepared fo…

math.GR2021★ 7 cited

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

Ayşe Berkman, Alexandre Borovik

We investigate the configuration where a group of finite Morley rank acts definably and generically -transitively on an elementary abelian -group of Morley rank , where $p…

math.LO2018★ 5 cited

Sharply 2-transitive groups of finite Morley rank

Tuna Altinel, Ayse Berkman, Frank Olaf Wagner

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…

math.GR2018★ 9 cited

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

Ayşe Berkman, Alexandre Borovik

We prove that if is a group of finite Morley rank which acts definably and generically sharply -transitively on a connected abelian group of Morley rank with no invo…

math.GR2011★ 1 cited

Groups of Finite Morley Rank with a Pseudoreflection Action

Ayse Berkman, Alexandre Borovik

In this work, we give two characterisations of the general linear group as a group of finite Morley rank acting on an abelian connected group of finite Morley rank definabl…

math.GR2011★ 4 cited

A Generic Identification Theorem for Groups of Finite Morley Rank, Revisited

Ayse Berkman, Alexandre Borovik

This paper contains a stronger version of a final identification theorem for the `generic' groups of finite Morley rank.