On non-solvable Camina pairs.

DOI10.1016/j.jalgebra.2009.06.023zbMath1188.20010OpenAlexW1992753805MaRDI QIDQ1048943

Christian Pech, Avinoam Mann, Zvi Arad, Mikhail E. Muzychuk

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.06.023

zbMATH Keywords

Frobenius groupsfinite \(p\)-groupsCamina pairsfinite non-soluble groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Extending Camina pairs ⋮ Camina pairs that are not \(p\)-closed.

Cites Work

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• Characters vanishing on all but two conjugacy classes.
• Some conditions which almost characterize Frobenius groups.
• Generalized Frobenius groups. II.
• On table algebras and applications to finite group theory
• Homogeneous character induction
• Finite \(p'\)-semiregular groups
• Groups and nilpotent Lie rings whose order is the sixth power of a prime.
• p-solvable doubly transitive permutation groups
• An analogy between products of two conjugacy classes and products of two irreducible characters in finite groups
• The Affine Permutation Groups of Rank Three

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