Covering a finite group by the conjugates of a coset.

DOI10.1016/j.jalgebra.2015.09.036zbMath1339.20021OpenAlexW2249324587MaRDI QIDQ903933

Gil Kaplan, Barbara Baumeister, Dan Levy

Publication date: 15 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.09.036

zbMATH Keywords

conjugacy classesfinite groupsprimitive permutation groupsalmost simple groups2-transitive groupsunions of cosets

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Simple groups: alternating groups and groups of Lie type (20D06) Primitive groups (20B15)

Uses Software

• GAP

Cites Work

• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Classification of Finite Groups with a CC-Subgroup
• A conjugacy class as a transversal in a finite group
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