Results 11 to 20 of about 209 (119)
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 +2 more sources
Intersection configurations in free and free times free-abelian groups
, 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
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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
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On the structure of the augmentation quotient group for some nonabelian 2-groups [PDF]
, 1974 summary:Let $G$ be a finite nonabelian group, ${\mathbb Z}G$ its associated integral group ring, and $\triangle (G)$ its augmentation ideal. For the semidihedral group and another nonabelian 2-group the problem of their augmentation ideals and quotient ...
Franz Bachmann +5 more
core +1 more source
, 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
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A nonabelian Brunn-Minkowski inequality
, 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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Relative order and spectrum in free and related groups [PDF]
, 2022 We consider a natural generalization of the concept of order of an element in a group: an element g ¿ G is said to have order k in a subgroup H (resp., in a coset Hu) of a group G if k is the first strictly positive integer such that gk ¿ H (resp., gk ¿
Ventura Capell, Enric +2 more
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Strongly dense free subgroups of semisimple algebraic groups II
, 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 +1 more source
PRODUCTS OF FREE GROUPS IN LIE GROUPS
, 2020 For every Lie group G, we compute the maximal n such that an n-fold product of nonabelian free groups embeds into ...
Campagnolo, Caterina, Kammeyer, Holger
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Derangements in intransitive groups
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley +1 more source