The Amalgamated Product of Free Groups and Residual Solvability
نویسنده
چکیده
In this paper we study residual solvability of the amalgamated product of two finitely generated free groups, in the case of doubles. We find conditions where this kind of structure is residually solvable, and show that in general this is not the case. However this kind of structure is always meta-residually-solvable.
منابع مشابه
Residual Solvability of Doubles of Residually Solvable Groups
In this paper we study residual solvability of the amalgamated product of two finitely generated free groups, in the case of doubles. We find conditions where this kind of structure is residually solvable, and show that in general this is not the case. However this kind of structure is always meta-residually-solvable.
متن کاملSOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES
In this paper, we verify the solvability of free product of finite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to construct suitable 2-complexes corresponding to the presentations of groups and their commutator subgroups. In particular, using these methods, we prove that the commutator subgroup of $mathbb{Z}_{m}*mathbb{Z}_{n}$ is free of rank $(m-1)(n-1)$ fo...
متن کاملOn the residual solvability of generalized free products of solvable groups
In this paper, we study the residual solvability of the generalized free product of solvable groups. Dedicated to Laci Babai
متن کاملOn the Residual Solvability of Generalized Free Products of Finitely Generated Nilpotent Groups
In this paper we study the residual solvability of the generalized free product of finitely generated nilpotent groups. We show that these kinds of structures are often residually solvable.
متن کاملExactness of Reduced Amalgamated Free Product C {algebras
Some completely positive maps on reduced amalgamated free products of C∗–algebras are constructed, showing that every reduced amalgamated free product of exact C∗–algebras is exact. Consequently, every amalgamated free product of exact discrete groups is exact.
متن کامل