On the depth of subgroups and group algebra extensions.

DOI10.1016/j.jalgebra.2011.03.019zbMath1250.20001OpenAlexW1977806073MaRDI QIDQ655401

Burkhard Külshammer, Susanne Danz, Robert Boltje

Publication date: 4 January 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.03.019

zbMATH Keywords

group algebrastensor productsring extensionsdepthsbisets

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Bimodules in associative algebras (16D20)

Related Items (19)

TI subgroups and depth 3 subgroups in simple Suzuki groups ⋮ The Depth of Subgroups of Suzuki Groups ⋮ Subgroups of arbitrary even ordinary depth ⋮ Depth one extensions of semisimple algebras and Hopf subalgebras. ⋮ Subgroups of odd depth—a necessary condition ⋮ The depth of subgroups of \(\text{PSL}(2,q)\). II. ⋮ The depth of Young subgroups of symmetric groups. ⋮ A quantum subgroup depth ⋮ Hopf subalgebras and tensor powers of generalized permutation modules. ⋮ Uniquely separable extensions ⋮ The depth of subgroups of \(\mathrm{PSL}(2,q)\). ⋮ Odd \(H\)-depth and \(H\)-separable extensions. ⋮ Constructing group inclusions with arbitrary depth via wreath products ⋮ The depth of the maximal subgroups of Ree groups ⋮ Algebraic quotient modules and subgroup depth ⋮ Subgroup Depth and Twisted Coefficients ⋮ Subring depth, Frobenius extensions, and towers. ⋮ An in-depth look at quotient modules ⋮ Subalgebra Depths Within the Path Algebra of an Acyclic Quiver

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group algebra extensions of depth one.
• On the depth 2 condition for group algebra and Hopf algebra extensions.
• Set functors equipped with a double action
• Finite depth and Jacobson-Bourbaki correspondence.
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)

This page was built for publication: On the depth of subgroups and group algebra extensions.