Results 31 to 40 of about 21,501,912 (352)
On free subgroups of finite exponent in circle groups of free nilpotent algebras [PDF]
International Journal of Group Theory, 2019 Let $K$ be a commutative ring with identity and $N$ the free nilpotent $K$-algebra on a non-empty set $X$. Then $N$ is a group with respect to the circle composition. We prove that the subgroup generated by $X$ is relatively free in a suitable class
Juliane Hansmann
doaj +1 more source
Rips–Segev torsion-free groups without the unique product property [PDF]
, 2013 We generalize the graphical small cancellation theory of Gromov to a graphical small cancellation theory over the free product. We extend Gromov's small cancellation theorem to the free product.
M. Steenbock
semanticscholar +1 more source
Surface Maps into Free Groups [PDF]
, 2012 We exploit the combinatorial properties of surface maps into free groups to prove several new results in the field of stable commutator length and bounded cohomology.
Walker, Alden Kent
core +1 more source
Context-Free Groups and their Structure Trees [PDF]
International journal of algebra and computation, 2012 Let Γ be a connected, locally finite graph of finite tree width and G be a group acting on it with finitely many orbits and finite node stabilizers. We provide an elementary and direct construction of a tree T on which G acts with finitely many orbits ...
V. Diekert, A. Weiss
semanticscholar +1 more source
Big free groups are almost free [PDF]
International Journal of Algebra and Computation, 2015 It is shown that the big free group (the set of countably-long words over a countable alphabet) is almost free, in the sense that any function from the alphabet to a compact topological group factors through a homomorphism. This statement is in fact a simple corollary of the more general result proven below on the extendability of homomorphisms from ...
openaire +3 more sources
On the finite presentation of subdirect products and the nature of residually free groups [PDF]
, 2012 We establish {\it virtual surjection to pairs} (VSP) as a general criterion for the finite presentability of subdirect products of groups: if $\Gamma_1,\ldots,\Gamma_n$ are finitely presented and $S We use the VSP criterion to characterize the finitely ...
M. Bridson +3 more
semanticscholar +1 more source
Measuring cones and other thick subsets in free groups [PDF]
International Journal of Group Theory, 2018 In this paper we investigate the special automata over finite rank free groups and estimate asymptotic characteristics of sets they accept. We show how one can decompose an arbitrary regular subset of a finite rank free group into disjoint union of ...
Elizaveta Frenkel +1 more
doaj +1 more source
A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics [PDF]
, 2012 This is a biased survey for the Johnson homomorphisms of the automorphism groups of free groups. We just exposit some well known facts and recent developments for the Johnson homomorphisms and its related topics.
T. Satoh
semanticscholar +1 more source
On singular equations over torsion-free groups
, 2021 We prove a Freiheitssatz for one-relator products of torsion-free groups, where the relator has syllable length at most 8. This result has applications to equations over torsion-free groups: in particular a singular equation of syllable length at most 18
Howie, James, Edjvet, Martin
core +1 more source
The character of free topological groups II
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces.
Peter Nickolas, Mikhail Tkachenko
doaj +1 more source