On the Christensen-Wang Bounds for the Ghost Number of a P-Group Algebra
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BRONZE
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Yes
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3
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Abstract
Christensen and Wang give conjectural upper and lower bounds for the ghost number of the group algebra of a p-group. We apply results of Koshitani and Motose on the nilpotency index of the Jacobson radical to prove the upper bound and most cases of the lower bound.
Description
Altunbulak Aksu, Fatma/0000-0002-6940-4666; Green, David/0000-0001-7526-0665
Keywords
20C20 (Primary), 20D15, 20J06 (Secondary), FOS: Mathematics, Group Theory (math.GR), 20C20 (Primary), 20D15, 16N20, 16N40 (Secondary), Mathematics - Group Theory, Modular representations and characters, stable category of \(KG\)-modules, \(p\)-group algebra, Derived categories, triangulated categories, ghost number, Module categories in associative algebras, 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.A., Green, D.J. (2016). On the Christensen-Wang bounds for the ghost number of a p-group algebra. Journal Of Group Theory, 19(4), 609-615. http://dx.doi.org/10.1515/jgth-2015-0050
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OpenCitations Citation Count
1
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Volume
19
Issue
4
Start Page
609
End Page
615
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CrossRef : 1
Scopus : 1
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