scholarly journals Bounds on the torsion subgroups of Néron–Severi groups

2020 ◽  
Vol 374 (1) ◽  
pp. 351-365
Author(s):  
Hyuk Jun Kweon
Keyword(s):  
Torsion Subgroups

scholarly journals Torsion subgroups of the homeomorphism groups of products of long line

2011 ◽  
Vol 158 (9) ◽  
pp. 1136-1139
Author(s):  
Veerendra Vikram Awasthi ◽  
Parameswaran Sankaran
Keyword(s):  
Long Line ◽  
Homeomorphism Groups ◽  
Torsion Subgroups

scholarly journals K-theory of Furstenberg Transformation Group C*-algebras

2013 ◽  
Vol 65 (6) ◽  
pp. 1287-1319 ◽  
Author(s):  
Kamran Reihani
Keyword(s):  
Asymptotic Behavior ◽  
Explicit Formula ◽  
Transformation Group ◽  
Order Structure ◽  
Crossed Products ◽  
Important Class ◽  
Maximal Degree ◽  
C Algebras ◽  
Torsion Subgroups ◽  
Made In

AbstractThis paper studies the K-theoretic invariants of the crossed product C*-algebras associated with an important family of homeomorphisms of the tori Tn called Furstenberg transformations. Using the Pimsner–Voiculescu theorem, we prove that given n, the K-groups of those crossed products whose corresponding n × n integer matrices are unipotent of maximal degree always have the same rank an. We show using the theory developed here that a claim made in the literature about the torsion subgroups of these K-groups is false. Using the representation theory of the simple Lie algebra sl(2;C), we show that, remarkably, an has a combinatorial significance. For example, every a2n+1 is just the number of ways that 0 can be represented as a sum of integers between–n and n (with no repetitions). By adapting an argument of van Lint (in which he answered a question of Erdős), a simple explicit formula for the asymptotic behavior of the sequence {an} is given. Finally, we describe the order structure of the K0-groups of an important class of Furstenberg crossed products, obtaining their complete Elliott invariant using classification results of H. Lin and N. C. Phillips.

scholarly journals On class numbers, torsion subgroups, and quadratic twists of elliptic curves

2021 ◽  
pp. 1
Author(s):  
Talia Blum ◽  
Caroline Choi ◽  
Alexandra Hoey ◽  
Jonas Iskander ◽  
Kaya Lakein ◽  
...  
Keyword(s):  
Elliptic Curves ◽  
Class Numbers ◽  
Quadratic Twists ◽  
Torsion Subgroups

scholarly journals Torsion subgroups of quasi-abelianized braid groups

2020 ◽  
Vol 558 ◽  
pp. 3-23 ◽  
Author(s):  
Vincent Beck ◽  
Ivan Marin
Keyword(s):  
Braid Groups ◽  
Torsion Subgroups

scholarly journals Large torsion subgroups of split Jacobians of curves of genus two or three

2000 ◽  
Vol 12 (3) ◽  
Author(s):  
Everett W. Howe ◽  
Franck Leprévost ◽  
Bjorn Poonen
Keyword(s):  
Genus Two ◽  
Torsion Subgroups

scholarly journals Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields

2015 ◽  
Vol 147 ◽  
pp. 342-363 ◽  
Author(s):  
Daeyeol Jeon ◽  
Chang Heon Kim ◽  
Yoonjin Lee
Keyword(s):  
Elliptic Curves ◽  
Torsion Subgroups
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