Results 51 to 60 of about 760,948 (301)
Endotrivial Modules for the General Linear Group in a Nondefining Characteristic [PDF]
, 2014 Suppose that $G$ is a finite group such that $\operatorname{SL}(n,q)\subseteq G \subseteq \operatorname{GL}(n,q)$, and that $Z$ is a central subgroup of $G$. Let $T(G/Z)$ be the abelian group of equivalence classes of endotrivial $k(G/Z)$-modules, where $
Carlson, Jon F. +2 more
core +3 more sources
Residual torsion-free nilpotence, biorderability and pretzel knots [PDF]
Algebraic & Geometric Topology, 2020 The residual torsion-free nilpotence of the commutator subgroup of a knot group has played a key role in studying the bi-orderability of knot groups. A technique developed by Mayland provides a sufficient condition for the commutator subgroup of a knot ...
John H. Johnson
semanticscholar +1 more source
Non-Divergence of Unipotent Flows on Quotients of Rank One Semisimple Groups [PDF]
, 2014 Let $G$ be a semisimple Lie group of rank $1$ and $\Gamma$ be a torsion free discrete subgroup of $G$. We show that in $G/\Gamma$, given $\epsilon>0$, any trajectory of a unipotent flow remains in the set of points with injectivity radius larger than ...
Buenger, C. Davis, Zheng, Cheng
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Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups [PDF]
Canadian mathematical bulletin, 2020 A Grigorchuk-Gupta-Sidki (GGS-)group is a subgroup of the automorphism group of the $p$-adic tree for an odd prime $p$, generated by one rooted automorphism and one directed automorphism.
Dominik Francoeur, A. Thillaisundaram
semanticscholar +1 more source
Extensions of group retractions
International Journal of Mathematics and Mathematical Sciences, 1980 In this paper a condition, which is necessary and sufficient, is determined when a retraction of a subgroup H of a torsion-free group G can be extended to a retraction of G.
Richard D. Byrd +3 more
doaj +1 more source
The Freiman--Ruzsa Theorem over Finite Fields [PDF]
, 2014 Let G be a finite abelian group of torsion r and let A be a subset of G. The Freiman--Ruzsa theorem asserts that if |A+A| < K|A| then A is contained in a coset of a subgroup of G of size at most r^{K^4}K^2|A|.
Even-Zohar, Chaim, Lovett, Shachar
core +1 more source
Classifying Torsion-Free Subgroups of the Picard Group [PDF]
Transactions of the American Mathematical Society, 1984 Torsion-free subgroups of finite index in the Picard group are the fundamental groups of hyperbolic 3 3 -manifolds. The Picard group is a polygonal product of finite groups. Recent work by Karrass, Pietrowski and Solitar on the subgroups of a polygonal product make it feasible to calculate all the torsion-free subgroups of any finite ...
Norbert J. Wielenberg +3 more
openaire +2 more sources
Torsion in the magnitude homology of graphs [PDF]
Journal of Homotopy and Related Structures, 2019 Magnitude homology is a bigraded homology theory for finite graphs defined by Hepworth and Willerton, categorifying the power series invariant known as magnitude which was introduced by Leinster.
R. Sazdanovic, Victor Summers
semanticscholar +1 more source
A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three
Annales Mathematicae Silesianae, 2018 A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases
Woronowicz Mateusz
doaj +1 more source
Torsion points and Galois representations on CM elliptic curves [PDF]
Pacific Journal of Mathematics, 2016 We prove several results on torsion points and Galois representations for complex multiplication (CM) elliptic curves over a number field containing the CM field.
Abbey Bourdon, P. L. Clark
semanticscholar +1 more source