AbstractWe introduce the notion of quantifying the extent to which a finitely generated group is residually finite. We investigate this behavior for examples that include free groups, the first Grigorchuk group, finitely generated nilpotent groups, and certain arithmetic groups such as SLn(Z). In the context of finite nilpotent quotients, we find a new characterization of finitely generated nilpotent groups
AbstractThe problem of calculating the growth of a finitely generated (f.g.) semigroup satisfying th...
We determine the structure of finitely generated residually finite groups in which the number of sub...
We find a lower bound to the size of finite groups detecting a given word in the free group, more pr...
AbstractWe introduce the notion of quantifying the extent to which a finitely generated group is res...
A group $G$ is called residually finite if for every non-trivial element $g \in G$, there exists a f...
AbstractWe show that certain properties of groups of automorphisms can be read off from the actions ...
In previous work, the author claimed an effective characterization for residual finiteness and lower...
In previous work, the author claimed an effective characterization for residual finiteness and lower...
Abstract. Let G be a virtually special group. Then the residual finiteness growth of G is at most li...
summary:In this note we study sets of normal generators of finitely presented residually $p$-finite ...
summary:In this note we study sets of normal generators of finitely presented residually $p$-finite ...
AbstractWe prove that every ascending HNN extension of a polycyclic-by-finite group is residually fi...
AbstractThe main result established here is that if G is a locally finite group that has all subgrou...
AbstractWe produce two examples demonstrating that an ascending HNN extension of a finitely generate...
First published in Proceedings of the American Mathematical Society in volum 145, number 2, 2016, pu...
AbstractThe problem of calculating the growth of a finitely generated (f.g.) semigroup satisfying th...
We determine the structure of finitely generated residually finite groups in which the number of sub...
We find a lower bound to the size of finite groups detecting a given word in the free group, more pr...
AbstractWe introduce the notion of quantifying the extent to which a finitely generated group is res...
A group $G$ is called residually finite if for every non-trivial element $g \in G$, there exists a f...
AbstractWe show that certain properties of groups of automorphisms can be read off from the actions ...
In previous work, the author claimed an effective characterization for residual finiteness and lower...
In previous work, the author claimed an effective characterization for residual finiteness and lower...
Abstract. Let G be a virtually special group. Then the residual finiteness growth of G is at most li...
summary:In this note we study sets of normal generators of finitely presented residually $p$-finite ...
summary:In this note we study sets of normal generators of finitely presented residually $p$-finite ...
AbstractWe prove that every ascending HNN extension of a polycyclic-by-finite group is residually fi...
AbstractThe main result established here is that if G is a locally finite group that has all subgrou...
AbstractWe produce two examples demonstrating that an ascending HNN extension of a finitely generate...
First published in Proceedings of the American Mathematical Society in volum 145, number 2, 2016, pu...
AbstractThe problem of calculating the growth of a finitely generated (f.g.) semigroup satisfying th...
We determine the structure of finitely generated residually finite groups in which the number of sub...
We find a lower bound to the size of finite groups detecting a given word in the free group, more pr...