Constructing group inclusions with arbitrary depth via wreath products

DOI10.1007/s10998-022-00474-6OpenAlexW4285728283MaRDI QIDQ2694921

Hayder Abbas Janabi, Erzsébet Horváth

Publication date: 4 April 2023

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-022-00474-6

zbMATH Keywords

Cartesian product of graphsWreath productdistance of charactersordinary depth of a subgroup

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Distance in graphs (05C12) Subgroups of symmetric groups (20B35) Graph operations (line graphs, products, etc.) (05C76)

Uses Software

• GAP

Cites Work

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• The depth of subgroups of \(\text{PSL}(2,q)\). II.
• The depth of Young subgroups of symmetric groups.
• Algebra depth in tensor categories
• Group algebra extensions of depth one.
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• On the depth 2 condition for group algebra and Hopf algebra extensions.
• On character tables of wreath products
• Algebraic quotient modules and subgroup depth
• The Depth of Subgroups of Suzuki Groups
• A NOTE ON THE DEPTH OF A SOURCE ALGEBRA OVER ITS DEFECT GROUP
• The depth of the maximal subgroups of Ree groups
• Depth Two, Normality, and a Trace Ideal Condition for Frobenius Extensions
• Subgroup Depth and Twisted Coefficients
• Subgroups of arbitrary even ordinary depth
• Hopf algebra actions on strongly separable extensions of depth two

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