Subgroups of arbitrary even ordinary depth

DOI10.22108/ijgt.2020.123551.1628zbMath1491.20016arXiv1902.00512OpenAlexW3164343899MaRDI QIDQ5854516

Hayder Abbas Janabi, Thomas Breuer, Erzsébet Horváth

Publication date: 17 March 2021

Full work available at URL: https://arxiv.org/abs/1902.00512

zbMATH Keywords

wreath productCartesian product of graphsdistance of charactersordinary depth of a subgroup

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Subgroups of symmetric groups (20B35) Graph operations (line graphs, products, etc.) (05C76)

Related Items

TI subgroups and depth 3 subgroups in simple Suzuki groups, Constructing group inclusions with arbitrary depth via wreath products

Uses Software

• GAP

Cites Work

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• 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