17 citations · 24 across the 9 of their papers we have counts for
10 papers
Bounding the degree of generic sharp transitivity
Tuna Altınel, Joshua Wiscons
We show that a generically sharply -transitive permutation group of finite Morley rank on a set of rank satisfies provided the pointwise stabilizer of a generic $…
On quasi-Frobenius pairs of finite Morley rank
Tuna Altinel, Luis Jaime Corredor, Adrien Deloro
We clarify quasi-Frobenius configurations of finite Morley rank. 1. We remove one assumption in an identification theorem by Zamour while simplifying the proof. 2. We show that a s…
Actions of on groups of finite Morley rank without involutions
Tuna Altınel, Joshua Wiscons
We investigate faithful representations of as automorphisms of a connected group of finite Morley rank. We target a lower bound of on the rank of su…
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…
Towards the recognition of via a high degree of generic transitivity
Tuna Altınel, Joshua Wiscons
In 2008, Borovik and Cherlin posed the problem of showing that the degree of generic transitivity of an infinite permutation group of finite Morley rank is at most wh…
Recognizing via generic -transitivity
Tuna Altınel, Joshua Wiscons
We show that the only transitive and generically -transitive action of a group of finite Morley rank on a set of Morley rank is the natural action of …
Definable Envelopes of Nilpotent Subgroups of Groups with Chain Conditions on Centralizers
Tuna Altınel, Paul Baginski
An group is a group in which all chains of centralizers have finite length. In this article, we show that every nilpotent subgroup of an group is…
A Jordan decomposition for groups of finite Morley rank
Tuna Altinel, Jeffrey Burdges, Oliver Frecon
We prove a Jordan decomposition theorem for minimal connected simple groups of finite Morley rank with non-trivial Weyl group. From this, we deduce a precise structural description…
On analogies between algebraic groups and groups of finite Morley rank
Tuna Altinel, Jeffrey Burdges
We prove that in a connected group of finite Morley rank the centralizers of decent tori are connected. We then apply this result to the analysis of minimal connected simple groups…
Interpretation of the Arithmetic in certain groups of piecewise affine permutations of an interval
Tuna Altınel, Alexey Muranov
The Arithmetic is interpreted in all the groups of Richard Thompson and Graham Higman, as well as in other groups of piecewise affine permutations of an interval which generalize t…