A generalized Baumslag-Solitar group is the fundamental group of a graph of groups all of whose vertex and edge groups are infinite cyclic. Levitt proves that any generalized Baumslag-Solitar group has property R-infinity, that is, any automorphism has an infinite number of twisted conjugacy classes. We show that any g…
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7 results for “R-infinity”
Uniform proof of property R_infinity for specific Artin-Tits groups.
problem Establishing property R_infinity for various Artin-Tits groups.
method Uniform short proof for multiple groups using similar techniques.
result Property R_infinity confirmed for specified Artin-Tits groups.
Considering the kinematics of the moving frame associated with a constant mean curvature surface immersed in S^3 we derive a linear problem with the spectral parameter corresponding to elliptic sinh-Gordon equation. The spectral parameter is related to the radius R of the sphere S^3. The application of the Sym formula …
Some remarks on twin groupsmath.GR
Study on twin groups with algorithm and properties.
problem Properties and algorithm of twin groups.
method Algorithm for equivalence under Markov moves, properties of R-infinity and co-Hopfian.
result Twin groups have -property and are not co-Hopfian for .
Paper studies pure virtual twin groups and their automorphisms.
problem Understanding the structure and automorphisms of pure virtual twin groups.
method Analyzes stable isotopy classes of immersed circles on surfaces, extending classical knot theory.
result Proves is an irreducible right-angled Artin group with trivial center and gives its precise presentation.
In an earlier paper, we proved that given an asymptotically cylindrical G_2-manifold M with a Calabi-Yau boundary X, the moduli space of coassociative deformations of an asymptotically cylindrical coassociative 4-fold C in M with a fixed special Lagrangian boundary L in X is a smooth manifold of dimension dim(V_+), whe…
Study of permutational wreath pullbacks and their properties.
problem Structural study of permutational wreath pullbacks and their properties.
method Systematic structural study of permutational wreath pullbacks, focusing on center, abelianization, and functorial behavior.
result Established a criterion for the abelian kernel to be characteristic and for the wreath product to inherit the R-infinity property.