Results 61 to 70 of about 210 (120)
Direct products of free groups in Aut(F_N) [PDF]
We give a complete description of the embeddings of direct products of nonabelian free groups into Aut(FN) and Out(FN) when the number of direct factors is maximal.
Bridson, Martin R, Wade, Richard
core +2 more sources
The Borel complexity of the space of left‐orderings, low‐dimensional topology, and dynamics
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We develop new tools to analyze the complexity of the conjugacy equivalence relation Elo(G)$E_\mathsf {lo}(G)$, whenever G$G$ is a left‐orderable group. Our methods are used to demonstrate nonsmoothness of Elo(G)$E_\mathsf {lo}(G)$ for certain groups G$G$ of dynamical origin, such as certain amalgams constructed from Thompson's group F$F$.
Filippo Calderoni, Adam Clay
wiley +1 more source
Bieberbach groups with finite point groups [PDF]
, 2011 A Bieberbach group is a torsion free crystallographic group. It is an extension of a lattice group, which is a maximal normal free abelian group of nite rank, by a nite point group.
Mohd. Idrus, Nor'ashiqin
core
Groups with free nonabelian subgroups [PDF]
Pacific Journal of Mathematics, 1970 Krom, Melven, Krom, Myren
openaire +2 more sources
Strongly Base-Two Groups. [PDF]
Vietnam J Math, 2023 Burness TC, Guralnick RM.
europepmc +1 more source
On the girth of finitely generated groups [PDF]
, 2003 We study the notion of girth for finitely generated groups. It is proved that if the girth is ‘small’ then the group necessarily satisfies a law. A general construction is presented which provides examples of groups with infinite girth not containing ...
Akhmedov, Azer
core +1 more source
Automorphic Bloch theorems for hyperbolic lattices. [PDF]
Proc Natl Acad Sci U S A, 2022 Maciejko J, Rayan S.
europepmc +1 more source
On minimal finite factor groups of outer automophism groups of free groups [PDF]
, 2010 We prove that, for n=3 and 4, the minimal nonabelian finite factor group of the outer automorphism group Out F_n of a free group of rank n is the linear group PSL_n(Z_2) (conjecturally, this may remain true for arbitrary rank n > 2).
ZIMMERMANN, BRUNO, MECCHIA, MATTIA
core
Restriction Problem for Anisotropic Principal Series of Free Groups [PDF]
, 1996 LetΓ0be a nonabelian free group and letπbe an anisotropic principal series representation ofΓ0. Exclude endpoint representations. Consider the restriction ofπto any cofinite subgroup.
Pensavalle, Carlo, Steger, Tim
core +1 more source
Bounds for the Diameters of Orbital Graphs of Affine Groups. [PDF]
Vietnam J Math, 2023 Maróti A, Skresanov SV.
europepmc +1 more source