Blocks inequivalent to their Frobenius twists.
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Publication:2459984
DOI10.1016/j.jalgebra.2007.03.044zbMath1135.20002OpenAlexW2044444410MaRDI QIDQ2459984
Radha Kessar, David John Benson
Publication date: 9 November 2007
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.03.044
Morita equivalencesdefect groupsblocksDonovan conjectureFrobenius twistsquantum complete intersections
Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)
Related Items (13)
On perverse equivalences and rationality ⋮ Towards Donovan's conjecture for abelian defect groups ⋮ Relating the Frobenius and Morita-Frobenius numbers of blocks of finite groups ⋮ On Isotypies Between Galois Conjugate Blocks ⋮ On the Morita Frobenius numbers of blocks of finite reductive groups ⋮ On Picard groups of blocks with normal defect groups ⋮ Arbitrarily large \(\mathcal{O}\)-Morita Frobenius numbers ⋮ Galois actions on blocks and classes of finite groups. ⋮ On stable equivalences and blocks with one simple module. ⋮ Finite-dimensional algebras arising as blocks of finite group algebras ⋮ The strong Frobenius numbers for cyclic defect blocks are equal to one ⋮ Rationality of blocks of quasi-simple finite groups ⋮ Arbitrarily large Morita Frobenius numbers
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- A Counterexample to a Conjecture on the Cartan Invariants of a Group Algebra
- Picard Groups for Derived Module Categories
- Non-principal blocks with one simple module
- Quantum complete rings and blocks with one simple module
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