Small profinite m-stable groups
A small profinite m-stable group has an open abelian subgroup of finite ℳ-rank and finite exponent.
Some model theory of simple algebraic groups over algebraically closed fields
Some structure theorems for inverse ω-semigroups
Strong boundedness and algebraically closed groups
Let be a non-trivial algebraically closed group and be a subset of generating in infinitely many steps. We give a construction of a binary tree associated with . Using this we show that if is -existentially closed then it is strongly bounded.
Subgroup criteria for an abelian group.