Eigenvalues of Cartan matrices of principal 3-blocks of finite groups with Abelian Sylow 3-subgroups.
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Publication:615870
DOI10.1016/j.jalgebra.2010.05.022zbMath1213.20009OpenAlexW2084946757MaRDI QIDQ615870
Yutaka Yoshii, Shigeo Koshitani
Publication date: 7 January 2011
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.05.022
Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)
Related Items (6)
Degrees of characters in the principal block ⋮ A counterexample to a conjecture of Wada ⋮ Central ideals and Jacobson radicals of blocks of group algebras ⋮ SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS WITH ABELIAN DEFECT GROUPS ⋮ On Loewy lengths of blocks ⋮ ON THE FROBENIUS–PERRON EIGENVALUES OF CARTAN MATRICES FOR SOME FINITE GROUPS
Cites Work
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- Eigenvalues and elementary divisors of Cartan matrices of cyclic blocks with \(l(B)\leqslant 5\) and tame blocks.
- Eigenvector matrices of Cartan matrices for finite groups.
- Eigenvalues of Cartan matrices of principal 2-blocks with Abelian defect groups.
- Trivial source modules in blocks with cyclic defect groups.
- Isomorphic blocks
- Remarks on isomorphic blocks
- On the local structure of Morita and Rickard equivalences between Brauer blocks
- Broué's conjecture holds for principal 3-blocks with elementary Abelian defect group of order 9
- Rationality of eigenvalues of Cartan matrices in finite groups
- The principal \(3\)-blocks of four- and five-dimensional projective special linear groups in non-defining characteristic
- Blocks with cyclic defect groups
- The principal 3-blocks of the 3-dimensional projective special unitary groups in non-defining characteristic
- DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9
- Sone remarks on eigeyvalues of the cartan matrix in finite groups
- Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic∗
- Blocks with cyclic defect groups in 𝐺𝐿(𝑛,𝑞)
- The 2-Modular and 3-Modular Decomposition Numbers for the Sporadic Simple O'Nan Group and its Triple Cover
- Morita Equivalent 3-Blocks of the 3-Dimensional Projective Special Linear Groups
- On splendid derived and stable equivalences between blocks and finite groups
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