The Auslander-Reiten quiver of a finite group

DOI10.1007/BF01173918zbMath0479.20008MaRDI QIDQ5905031

Peter J. Webb

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173131

zbMATH Keywords

complexityprojective modulesSylow subgroupsindecomposable representationsvertexconnected componentirreducible mapslabelled treeblock of cyclic defectAuslander-Reiten-quiver

Mathematics Subject Classification ID

Modular representations and characters (20C20) Cohomology of groups (20J06) Integral representations of finite groups (20C10)

Related Items

Almost-split sequences and group rings, On Auslander-Reiten Quivers of Enveloping Algebras of Restricted Lie Algebras, On the vertices of modules in the Auslander-Reiten quiver. II, On the Auslander-Reiten quiver of a finite group, On Auslander-Reiten components for group algebras, Some periodic \(SL(2,p^ n)\)-modules, On Auslander-Reiten components and Heller lattices for integral group rings., The complexity of crossed products., Projective modules of finite groups with elementary abelian Sylow 3-subgroups of order 9 in characteristic 3, On the vertices of modules in the Auslander-Reiten quiver of p-groups, Auslander-Reiten components containing modules with bounded Betti numbers, Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup., Finite-dimensional algebras not arising as blocks of group algebras, On Euclidean components of Auslander-Reiten quivers of finite group schemes, Support varieties, AR-components, and good filtrations., On relative projectivity of lattices in Auslander-Reiten components for group rings, Hybrid algebras, On modules of finite complexity over selfinjective Artin algebras., Combinatorial restrictions on the tree class of the Auslander-Reiten quiver of a triangulated category, Support varieties for selfinjective algebras., THE GRADED CENTER OF A TRIANGULATED CATEGORY, On the Auslander-Reiten quiver of an infinitesimal group, Blocks whose defect groups are Klein four groups: A correction, On Auslander-Reiten components and height zero lattices for integral group rings., Cartan invariants of group algebras of finite groups, The principal \(3\)-blocks of four- and five-dimensional projective special linear groups in non-defining characteristic, Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups., Complexity, periodicity and one-parameter subgroups, On Loewy lengths of blocks, On Auslander-Reiten components and splitting trace lattices for integral group rings., Rouquier blocks in Chevalley groups of type \(E\)., Higher Nakayama algebras. I: Construction, Noetherianity and Gelfand-Kirillov dimension of components., On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras, On support varieties of Auslander-Reiten components, Selfinjective Koszul algebras of finite complexity., The Auslander-Reiten quiver of a finite group, Galois actions and blocks of tame infinitesimal group schemes, Perodic modules in the Auslander-Reiten Quiver for some group algebras, On the non-periodic stable Auslander-Reiten Heller component for the Kronecker algebra over a complete discrete valuation ring, On the stable module category of a self-injective algebra, Loewy matrix, koszul cone and applications, On the vertices of modules in the Auslander-Reiten quiver, The Auslander-Reiten quiver of a modular group algebra revisited, Rank varieties for a class of finite-dimensional local algebras., On Auslander-Reiten components and trivial source lattices for integral group rings., Splendid Morita equivalences for principal 2-blocks with dihedral defect groups, AUSLANDER–REITEN COMPONENTS FOR G₁T-MODULES, Modules of constant Jordan type, The Loewy structure and basic algebra structure for some three-dimensional projective special unitary groups in characteristic \(3\), On the vertices of indecomposable modules over dihedral 2-groups., On Auslander-Reiten components and trivial modules for integral group rings of \(p\)-groups, A generalization of Webb's theorem to Auslander-Reiten systems, Auslander-Reiten components for Lie algebras of reductive groups, Relative projective covers and almost split sequences, Functors on categories of finite group representations, Complexity and quotient categories for group algebras

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