논문KCI 등재
Non-Hopfian SQ-Universal Groups
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In [9], Lee and Sakuma constructed 2-generator non-Hopfian groups each of which has a specific presentation ⟨a, b | R⟩ satisfying small cancellation conditions C(4) and T(4). In this paper, we prove the SQ- universality of those non-Hopfian groups.
Abstract
In [9], Lee and Sakuma constructed 2-generator non-Hopfian groups each of which has a specific presentation ⟨a, b | R⟩ satisfying small cancellation conditions C(4) and T(4). In this paper, we prove the SQ- universality of those non-Hopfian groups.
참고문헌 (13)
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- D. Lee, "A family of two generator non-Hopfian groups", Int. J. Algebra Comput., 27, pp.655~675 (2017)[DOI]
- K. I. Lossov, "SQ-universality of free products with amalgamated finite subgroups", Sibirsk. Mat. Zh., 27(6), pp.128~139 (1986)
- R. C. Lyndon, "Combinatorial group theory" (1977), Springer-Verlag
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