49 citations · 185 across the 47 of their papers we have counts for
4 papers · 2 filters
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…
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…
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.
The Finitary Andrews-Curtis Conjecture
Alexandre V. Borovik, Alexander Lubotzky, Alexei G. Myasnikov
The well known Andrews-Curtis Conjecture [2] is still open. In this paper, we establish its finite version by describing precisely the connected components of the Andrews-Curtis gr…