منابع مشابه
On ordering free groups
The positive cones of the left orders on a free group can be described by their finite subsets. An algorithm is given for recognizing when a finite subset of a free group lies in a positive cone. This is used to show how one can construct a sequence of finite subsets of a positive cone whose union is the positive cone. Moreover, the method gives an overview of the positive cones of a free group...
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We prove that the pure braid groups on closed, orientable surfaces are bi-orderable, and that the pure braid groups on closed, non-orientable surfaces have generalized torsion, thus they are not bi-orderable.
متن کاملCurrents on Free Groups
We study the properties of geodesic currents on free groups, particularly the " intersection form " that is similar to Bonahon's notion of the intersection number between geodesic currents on hyperbolic surfaces .
متن کاملSome Remarks on Commuting Fixed Point Free Automorphisms of Groups
In this article we will find necessary and sufficient conditions for a fixed point free automorphism (fpf automorphism) of a group to be a commuting automorphism. For a given prime we find the smallest order of a non abelian p-group admitting a commuting f...
متن کاملGroups Preserving Ordering in Vectors
where 7T is an element of the symmetric group Y'" (i.e., 7T is a permutation of 1,2, ... , n), 7=(tlt2 ... til), and E i.j is the elementary matrix with 1 in the i, j position and 0 elsewhere. In other words, P 1T(7) is the permutation matrix corresponding to 7T with the 1 in the ith row replaced by ti for each 1 = 1,2, . , " n. Our results are THEOREM 1. Let M(V) denote the group of all nonsin...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2005
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2005.05.005