On the Christensen–Wang bounds for the ghost number of a p-group algebra
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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.
Funding source: Türkiye Bilimsel ve Teknolojik Araştirma Kurumu
Award Identifier / Grant number: TÜBİTAK-BIDEP-2219
Funding statement: The first author was supported by the Scientific and Technical Research Council of Turkey (TÜBİTAK-BIDEP-2219).
The first author would like to thank the Institute for Mathematics of the University of Jena for their hospitality.
References
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© 2016 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Codegrees and nilpotence class of p-groups
- On finite 2-equilibrated p-groups
- Minimal dimension of faithful representations for p-groups
- On the Christensen–Wang bounds for the ghost number of a p-group algebra
-
A family of non-Schurian p-Schur rings over groups of order
- Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup
- Symmetric powers of Nat SL(2,𝕂)
- Nested GVZ-groups
- On some groups generated by involutions
-
Thompson’s conjecture for finite simple groups of Lie type
Artikel in diesem Heft
- Frontmatter
- Codegrees and nilpotence class of p-groups
- On finite 2-equilibrated p-groups
- Minimal dimension of faithful representations for p-groups
- On the Christensen–Wang bounds for the ghost number of a p-group algebra
-
A family of non-Schurian p-Schur rings over groups of order
- Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup
- Symmetric powers of Nat SL(2,𝕂)
- Nested GVZ-groups
- On some groups generated by involutions
-
Thompson’s conjecture for finite simple groups of Lie type
