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4 papers · 1 filter
Pseudofinite groups as fixed points in simple groups of finite Morley rank
Pınar Uğurlu
We prove that if the group of fixed points of a generic automorphism of a simple group of finite Morley rank is pseudofinite, then this group is an extension of a (twisted) Chevall…
Uniqueness Cases in Odd Type Groups of Finite Morley Rank, Revisited
Alexandre Borovik, Jeffrey Burdges, Ali Nesin
The paper contains versions of the Strong Embedding Theorem and the Uniqueness Subgroup Theorem for groups of finite Morley rank and odd type which are needed for the study of perm…
Uniqueness cases in odd type groups of finite Morley rank
Alexandre Borovik, Jeffrey Burdges, Ali Nesin
Here we analyze a proper 2-generated core in a minimal counter example to the Cherlin-Zilber Algebraicity Conjecture for simple groups of finite Morley rank. We ultimately show tha…
Endomorphisms of relatively hyperbolic groups
Igor Belegradek, Andrzej Szczepanski, Oleg V. Belegradek
We generalize some results of Paulin and Rips-Sela on endomorphisms of hyperbolic groups to relatively hyperbolic groups, and in particular prove the following. (1) If G is a finit…