Torsion-free groups and amalgamated products

Author:

Baumslag G.,Karrass A.,Solitar D.

Abstract

There exist continuously many finitely generated torsion-free groups which cannot be obtained from the infinite cyclic group by repeatedly forming the free product with an amalgamated subgroup of any two groups already obtained, taking subgroups, and forming ascending unions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. On composition series of polycyclic groups;Bowers, J. F.;J. London Math. Soc.,1960

2. Finiteness conditions for soluble groups;Hall, P.;Proc. London Math. Soc. (3),1954

3. Embedding theorems for groups;Higman, Graham;J. London Math. Soc.,1949

4. The subgroups of a free product of two groups with an amalgamated subgroup;Karrass, A.;Trans. Amer. Math. Soc.,1970

5. A. G. Kuroš, The theory of groups, 2nd ed., GITTL, Moscow, 1953

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Cyclically separated groups;Bulletin of the Australian Mathematical Society;1982-12

2. Infinite groups;Journal of Soviet Mathematics;1982

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