Equivariant Alperin-Robinson's conjecture reduces to almost-simple \(k^*\)-groups.
DOI10.1016/J.JALGEBRA.2012.08.024zbMath1285.20007arXiv1203.3851OpenAlexW1994795060WikidataQ123015256 ScholiaQ123015256MaRDI QIDQ2376694
Publication date: 24 June 2013
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.3851
finite groupsdefect groupsblocksGrothendieck groupsalmost simple groupsAlperin weight conjectureFrobenius categories
Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)
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Cites Work
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- On the reduction of Alperin's conjecture to the quasi-simple groups.
- A reduction theorem for the Alperin weight conjecture.
- Block source algebras in \(p\)-solvable groups.
- Pointed groups and construction of modules
- On the local structure of Morita and Rickard equivalences between Brauer blocks
- Extensions of nilpotent blocks
- Frobenius categories versus Brauer blocks. The Grothendieck group of the Frobenius category of a Brauer block.
- Glauberman correspondents and extensions of nilpotent block algebras
- Ordinary Grothendieck Groups of a Frobenius P-Category
- Some Remarks on a Conjecture of Alperin
- Locally Determined Functions and Alperin's Conjecture
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