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Knuth-Bendix algorithm and the conjugacy problems in monoids
Knuth-Bendix algorithm conjugacy problems monoids
2011/2/21
We present an algorithmic approach to the conjugacy problems in monoids, using rewriting systems. We extend the classical theory of rewriting developed by Knuth and Bendix to a rewriting that takes in...
Generating the Mobius group with involution conjugacy classes
Mobius group involution conjugacy classes
2011/2/28
A k-involution is an involution with a fixed point set of codimension k. The conjugacy class of such an involution, denoted Sk, generates M¨ob(n)-the the group of isometries of hyperbolic n-space-if k...
Conjugacy p-separability of right-angled Artin groups and applications
Conjugacy p-separability right-angled Artin groups applications
2010/12/9
We prove that every subgroup of p-power index in a right-angled Artin group is conjugacy p-separable. In particular, every right-angled Artin group is conjugacy p-separable. A consequence of this resu...
A symmetrized conjugacy scheme for orthogonal expansions
orthogonal expansions conjugacy Riesz transforms conjugate Poisson integra
2010/12/2
We establish a symmetrization procedure in a context of general orthogonal expansions associated with a second order differential operator L, a ‘Laplacian’. Combined with a unified conjugacy scheme fu...