The Quaternion Group Has Ghost Number Three
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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
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469
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77
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83
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Scopus : 0
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