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math.GR2024
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 $…
math.GR2022
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…
math.GR2008
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…