Periodicity in groups

zbMath0389.20004MaRDI QIDQ1250867

J. L. Alperin

Publication date: 1977

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05)

Related Items (32)

Complexity and multiple complexes ⋮ Boundedness and periodicity of modules over QF rings ⋮ Periodic Modules with Large Periods ⋮ Support varieties for Weyl modules over bad primes. ⋮ Periodic simple modules for \(SU_ 3(q\) 2) in the describing characteristic p\(\neq 2\) ⋮ Homological Algebra on a Complete Intersection, with an Application to Group Representations ⋮ The varieties and the cohomology ring of a module ⋮ Relations between complexity and modular invariants and consequences for p-soluble groups ⋮ Complexity of simple modules over the Lie superalgebra \(\mathfrak{osp}(k\vert 2)\) ⋮ Necessary conditions for the depth formula over Cohen-Macaulay local rings ⋮ A Criterion for Finite Module Type ⋮ Support varieties and representation types for basic classical Lie superalgebras ⋮ On modules with reducible complexity ⋮ Representations, resolutions and Quillen's dimension theorem ⋮ Bounding the ranks of ZG-lattices by their restrictions to elementary Abelian subgroups ⋮ Basic Hopf algebras of tame type. ⋮ The structure of periodic modules over modular group algebras ⋮ Dimensions of modules and their restrictions over modular group algebras ⋮ Complexity classes of modules over finite dimensional algebras ⋮ Filtrations for periodic modules over restricted Lie algebras ⋮ Algebras with non-periodic bounded modules ⋮ The Auslander-Reiten quiver of a finite group ⋮ The Dade group of a \(p\)-group. ⋮ The Lie module and its complexity ⋮ Periodic modules over weakly symmetric algebras ⋮ On the Global Dimension of Fixed Rings ⋮ The Loewy structure and basic algebra structure for some three-dimensional projective special unitary groups in characteristic \(3\) ⋮ The complexities and rank varieties of the simple modules of \((^ 2A_ 2)(q^ 2)\) in the natural characteristic ⋮ On cohomological periodicity of ZG-lattices ⋮ Cohomology of \(\mathrm{PSL}_2(q)\) ⋮ Complexes and vanishing of cohomology for group schemes ⋮ Support varieties for modules over symmetric groups

This page was built for publication: Periodicity in groups