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- Title
SOME REMARKS ON ONE-RELATOR AMALGAMATED FREE PRODUCTS II.
- Authors
Juhász, Arye
- Abstract
We consider quotients of the free product G of groups A and B, amalgamated along a group C, which is malnormal in A and in B. We concentrate on quotients H of G by the normal closure of a single relator which is a power of a word. We show that a part of the results which are true for the corresponding one relator free products hold true for H. We reduce the problems to the free product case and use small cancellation theory.
- Subjects
AMALGAMS (Group theory); CANCELLATION theory (Group theory); GROUP theory; FREE products (Group theory); HYPERBOLIC groups; WORD problems (Mathematics); ALGEBRA
- Publication
International Journal of Algebra & Computation, 2006, Vol 16, Issue 1, p1
- ISSN
0218-1967
- Publication type
Article
- DOI
10.1142/S0218196706002925