Affinities of groups
Algunas observaciones acerca de matrices triangulares sobre anillos
Almost all one-relator groups with at least three generators are residually finite
We prove that with probability tending to 1, a one-relator group with at least three generators and the relator of length is residually finite, is a virtually residually (finite -)group for all sufficiently large , and is coherent. The proof uses both combinatorial group theory and non-trivial results about Brownian motions.
Almost fixed-point-free automorphisms of prime order
Let ϕ be an automorphism of prime order p of the group G with C G(ϕ) finite of order n. We prove the following. If G is soluble of finite rank, then G has a nilpotent characteristic subgroup of finite index and class bounded in terms of p only. If G is a group with finite Hirsch number h, then G has a soluble characteristic subgroup of finite index in G with derived length bounded in terms of p and n only and a soluble characteristic subgroup of finite index in G whose index and derived length are...
An analog of the Baer-Suzuki theorem for infinite groups.
An Arithmetic Property of Profinite Groups.
Analytic properties of zeta functions and subgroup growth.
Anti-CC-groups and anti-PC-groups.
Artin Groups and Infinite Coxeter Groups.
Automorphism Towers of Extremal Groups.
Autormorphism groups of countable highly homogeneous partially ordererd sets.