Splittings of generalized Baumslag–Solitar groups
نویسندگان
چکیده
منابع مشابه
Splittings of generalized Baumslag–Solitar groups
We study the structure of generalized Baumslag–Solitar groups from the point of view of their (usually non-unique) splittings as fundamental groups of graphs of infinite cyclic groups. We find and characterize certain decompositions of smallest complexity (fully reduced decompositions) and give a simplified proof of the existence of deformations. We also prove a finiteness theorem and solve the...
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We define the notion of a “peripheral splitting” of a group. This is essentially a representation of the group as the fundamental group of a bipartite graph of groups, where all the vertex groups of one colour are held fixed—the “peripheral subgroups”. We develop the theory of such splittings and prove an accessibility result. The theory mainly applies to relatively hyperbolic groups with conne...
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We prove algebraic analogues of the facts that a curve on a surface with self-intersection number zero is homotopic to a cover of a simple closed curve, and that two simple closed curves on a surface with intersection number zero can be isotoped to be disjoint. In [15] and [16], analogues of the classical JSJ-decompositions of Haken manifolds were described using the notion of isotopic disjoint...
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In this paper we extend the notion of the proper splitting of rectangular matrices introduced and investigated in ( Berman, A. and Neumann, M., SIAM J. Appl. Math. 31 (1976), 307–312; and Berman, A. and Plemmons, R. J., SIAM J. Numer. Anal. 11 (1974), 145–154) to g-invertible operators on Banach spaces. Also, we extend and generalize the notion of the index splitting of square matrices introduc...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2006
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-006-9085-9