Results 11 to 20 of about 210 (120)
The central subgroup of the nonabelian tensor square of a torsion free space group [PDF]
AIP Conference Proceedings, 2016 Space groups of a crystal expound its symmetry properties. One of the symmetry properties is the central subgroup of the nonabelian tensor square of a group. It is a normal subgroup of the group which can be ascertained by finding the abelianisation of the group and the nonabelian tensor square of the abelianisation group.
Siti Afiqah Mohammad +2 more
openaire +3 more sources
Approximating nonabelian free groups by groups of homeomorphisms of the real line [PDF]
Journal of Algebra, 2020 8 pages.
Lodha, Yash
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Isometries of Lipschitz‐free Banach spaces [PDF]
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We describe surjective linear isometries and linear isometry groups of a large class of Lipschitz‐free spaces that includes, for example, Lipschitz‐free spaces over any graph. We define the notion of a Lipschitz‐free rigid metric space whose Lipschitz‐free space only admits surjective linear isometries coming from surjective dilations (i.e ...
Marek Cúth +2 more
wiley +3 more sources
Intersection configurations in free and free times free-abelian groups [PDF]
, 2023 In this paper we study intersection configurations -- which describe the behaviour of multiple (finite) intersections of subgroups with respect to finite generability -- in the realm of free and free times free-abelian (FTFA) groups.
Roy, Mallika +4 more
core +2 more sources
A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS
Forum of Mathematics, Sigma, 2015 Let $w_{1}$ and $w_{2}$ be nontrivial words in free groups $F_{n_{1}}$ and $F_{n_{2}}$, respectively. We prove that, for all sufficiently large finite nonabelian simple groups $G$, there exist subsets $C_{1}\subseteq w_{1}(G)$ and $C_{2}\subseteq w_{2}(G)
MICHAEL LARSEN, PHAM HUU TIEP
doaj +1 more source
Entropy, 2016 Dan Rudolph showed that for an amenable group, Γ, the generic measure-preserving action of Γ on a Lebesgue space has zero entropy. Here, this is extended to nonamenable groups.
Lewis Bowen
doaj +1 more source
The central subgroups of the nonabelian tensor squares of some bieberbach groups with elementary Abelian 2-group point group [PDF]
, 2017 Bieberbach groups are torsion free crystallographic groups. In this paper, our focus is on the Bieberbach groups with elementary abelian 2-group point group, 2 2 C C? . The central subgroup of the nonabelian tensor square of a group G is generated by g g
Part Time Farah Nadhirah binti Mohd Aznam
core +3 more sources
A nonabelian Brunn-Minkowski inequality [PDF]
, 2023 Henstock and Macbeath asked in 1953 whether the Brunn-Minkowski inequality can be generalized to nonabelian locally compact groups; questions along the same line were also asked by Hrushovski, McCrudden, and Tao.
Jing, Yifan +2 more
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Constructions of large translation nets with nonabelian translation groups [PDF]
, 2008 In this paper the first infinite series of translation nets with nonabelian translation groups and a large number of parallel classes are constructed. For that purpose we investigate partial congruence partitions (PCPs) with at least one normal component.
Hachenberger, Dirk
core +1 more source
Strongly dense free subgroups of semisimple algebraic groups II [PDF]
, 2023 It was shown in [9] that there exist strongly dense free subgroups in any semisimple algebraic group over a large enough field. These are nonabelian free subgroups all of whose subgroups are either cyclic or Zariski-dense.
Robert Guralnick +5 more
core +2 more sources