The Quaternion Group Has Ghost Number Three
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Press inc Elsevier Science
Open Access Color
HYBRID
Green Open Access
Yes
OpenAIRE Downloads
3
OpenAIRE Views
2
Publicly Funded
No
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Average
Influence
Average
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Average
Abstract
We prove that the group algebra of the quaternion group Q(8) over any field of characteristic two has ghost number three. (C) 2016 Elsevier Inc. All rights reserved.
Description
Green, David/0000-0001-7526-0665; Altunbulak Aksu, Fatma/0000-0002-6940-4666
Keywords
Quaternion Group, Ghost Map, Ghost Number, Dade'S Generators, Kronecker Quiver, Linear Relation, 20C20 (Primary), 20D15, 20J06 (Secondary), FOS: Mathematics, Group Theory (math.GR), 20C20 (Primary), 20D15, 16N20, 16N40 (Secondary), Mathematics - Group Theory, quaternion group, Modular representations and characters, Kronecker quiver, ghost number, Module categories in associative algebras, Finite nilpotent groups, \(p\)-groups, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Dade's generators, linear relation, ghost map, Cohomology of groups, Group rings of finite groups and their modules (group-theoretic aspects)
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Aksu, F., Green, D.J. (2017). The quaternion group has ghost number three. Journal of Algebra, 469, 77-83. http://dx.doi.org/ 10.1016/j.jalgebra.2016.08.022
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
N/A
Source
Journal of Algebra
Volume
469
Issue
Start Page
77
End Page
83
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Citations
Scopus : 0
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