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Akademický článek

Autor: Short, H. Madison

Publikováno v: Mercer Law Review. 2024, Vol. 75 Issue 3, p989-1007. 19p.

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On finite index subgroups of a universal group

Autor: Brumfiel, G., Hilden, H., Lozano, M. T., Montesinos--Amilibia, J. M., Ramirez--Losada, E., Short, H., Tejada, D., Toro, D.

The orbifold group of the Borromean rings with singular angle 90 degrees, $U$, is a universal group, because every closed oriented 3--manifold $M^{3}$ occurs as a quotient space $M^{3} = H^{3}/G$, where $G$ is a finite index subgroup of $U$. Therefor

Externí odkaz: http://arxiv.org/abs/0710.5835

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Three manifolds as geometric branched coverings of the three sphere

Autor: Brumfiel, G., Hilden, H., Lozano, M. T., Montesinos--Amilibia, J. M., Ramirez--Losada, E., Short, H., Tejada, D., Toro, M.

One method for obtaining every closed orientable 3-manifold is as branched covering of the 3-sphere over a link. There is a classical topological result showing that the minimun possible number of sheets in the covering is three. In this paper we obt

Externí odkaz: http://arxiv.org/abs/0710.1960

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Parallel poly pushdown groups

Autor: Baumsalg, G., Shapiro, M., Short, H.

We define a class of groups based on parallel computations by pushdown automata. This class generalizes automatic groups. It includes the fundamental groups of all 3-manifolds which obey Thurston' s geometrization conjecture. It also includes nilpote

Externí odkaz: http://arxiv.org/abs/math/9704204

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