The quaternion group has ghost number three
Group Theory
2017-04-04 v2
Abstract
We prove that the group algebra of the quaternion group Q8 over any field of characteristic two has ghost number three.
Cite
@article{arxiv.1510.09078,
title = {The quaternion group has ghost number three},
author = {Fatma Altunbulak Aksu and David J. Green},
journal= {arXiv preprint arXiv:1510.09078},
year = {2017}
}
Related papers
View all related →
K-Theory and Homology · Mathematics
On the Hochschild cohomology ring of the quaternion group of order eight in characteristic two
Alexander Ivanov, Sergei O. Ivanov, Yury Volkov, Guodong Zhou
2014-07-17
Group Theory · Mathematics
Rational rigidity for E_8(p)
Robert Guralnick, Gunter Malle
2019-02-20
Representation Theory · Mathematics
Ghosts in modular representation theory
Sunil K. Chebolu, J. Daniel Christensen, Jan Minac
2011-12-26
History and Overview · Mathematics
The Quaternion Group as a Symmetry Group
Vi Hart, Henry Segerman
2014-04-29
Representation Theory · Mathematics
Ghost numbers of group algebras II
J. Daniel Christensen, Gaohong Wang
2017-07-11
High Energy Physics - Theory · Physics
New Ghost States in SU(3) Gauge Field Theory
Scott Chapman
2007-05-23
Representation Theory · Mathematics
A ghost algebra of the double Burnside algebra in characteristic zero
Robert Boltje, Susanne Danz
2013-06-13
Rings and Algebras · Mathematics
Triple Linkage of Quadratic Pfister Forms
Adam Chapman, Andrew Dolphin, David B. Leep
2018-03-01
Number Theory · Mathematics
Algebraic Groups Constructed from Orders of Quaternion Algebras
Arseniy Sheydvasser
2019-09-30
Number Theory · Mathematics
On quaternion algebra over the composite of quadratic number fields and over some dihedral fields
Vincenzo Acciaro, Diana Savin
2018-03-20
Geometric Topology · Mathematics
The quaternion group as a subgroup of the sphere braid groups
Daciberg Lima Gonçalves, John Guaschi
2011-11-09
High Energy Physics - Theory · Physics
Vertex operators of ghost number three in Type IIB supergravity
Andrei Mikhailov
2015-10-27
Rings and Algebras · Mathematics
Quadratic Extension Algebras and Quaternion Algebras Over Fields (of Characteristic not 2)
France Dacar
2016-09-27
High Energy Physics - Phenomenology · Physics
A New Family Symmetry: Discrete Quaternion Group
Michele Frigerio
2007-05-23
Number Theory · Mathematics
Ghost classes in $\mathbb{Q}$-rank two orthogonal Shimura varieties
Jitendra Bajpai, Matias Victor Moya Giusti
2021-07-15
High Energy Physics - Theory · Physics
Triple point in the $O(2)$ ghost model with higher-order gradient term
Zoltán Péli, Sándor Nagy, Kornél Sailer
2016-10-05
Rings and Algebras · Mathematics
Total linkage of quaternion algebras and Pfister forms in characteristic two
Adam Chapman, Andrew Dolphin, Ahmed Laghribi
2016-04-15
Representation Theory · Mathematics
Ghost numbers of Group Algebras
J. Daniel Christensen, Gaohong Wang
2017-07-11
Computational Complexity · Computer Science
On bilinear algorithms for multiplication in quaternion algebras
Vladimir Lysikov
2012-08-29
High Energy Physics - Theory · Physics
Taming the 11D pure spinor b-ghost
Max Guillen
2023-04-05
High Energy Physics - Theory · Physics
E$_8$ in $\mathcal N=8$ supergravity in four dimensions
Sudarshan Ananth, Lars Brink, Sucheta Majumdar
2020-02-25
Rings and Algebras · Mathematics
Quaternions In Three Dimensions
Bob Palais
2010-12-13
Number Theory · Mathematics
A local analogue of the ghost conjecture of Bergdall-Pollack
Ruochuan Liu, Nha Xuan Truong, Liang Xiao, Bin Zhao
2025-02-19
Group Theory · Mathematics
On the Christensen-Wang bounds for the ghost number of a p-group algebra
Fatma Altunbulak Aksu, David J. Green
2016-07-26
Number Theory · Mathematics
Cohomology of SL(3,Z) with coefficients in the standard representation
Ivan Horozov
2022-07-26