The depth of Young subgroups of symmetric groups.

DOI10.1016/j.jalgebra.2013.02.002zbMath1293.20012OpenAlexW2025015316MaRDI QIDQ375194

Carolin Reiche, Tim Fritzsche, Burkhard Külshammer

Publication date: 28 October 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021869313000616

zbMATH Keywords

symmetric groupsYoung subgroupsdepth of subgroups

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Subgroups of symmetric groups (20B35)

Related Items

TI subgroups and depth 3 subgroups in simple Suzuki groups, The Depth of Subgroups of Suzuki Groups, Subgroups of arbitrary even ordinary depth, A quantum subgroup depth, Hopf subalgebras and tensor powers of generalized permutation modules., Uniquely 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, An in-depth look at quotient modules

Uses Software

• GAP
• hecke

Cites Work

• Group algebra extensions of depth one.
• On the depth of subgroups and group algebra extensions.
• Depth two Hopf subalgebras of a semisimple Hopf algebra.
• Base size, metric dimension and other invariants of groups and graphs
• Depth Two, Normality, and a Trace Ideal Condition for Frobenius Extensions
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