Semi-rational solvable groups

DOI10.1515/JGT.2010.004zbMath1203.20014OpenAlexW2003984150MaRDI QIDQ3584486

David Chillag, Silvio Dolfi

Publication date: 30 August 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2010.004

zbMATH Keywords

conjugacy classesfinite groupssolvable groupsrational groupsgroup orderssemi-rational groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (13)

On semi-rational finite simple groups ⋮ Unnamed Item ⋮ Research in representation theory of finite groups ⋮ Quadratic rational solvable groups. ⋮ Gruenberg-Kegel graphs: cut groups, rational groups and the prime graph question ⋮ Free polynilpotent groups and the Magnus property ⋮ Global and local properties of finite groups with only finitely many central units in their integral group ring ⋮ Field of values of cut groups and \(k\)-rational groups ⋮ Group rings and the RS property ⋮ On semi-rational Frobenius groups ⋮ Integral group rings of solvable groups with trivial central units ⋮ Integral group rings with all central units trivial: solvable groups ⋮ Structure of group rings and the group of units of integral group rings: an invitation

Cites Work

• Big primes and character values for solvable groups
• Groups whose characters are rational-valued
• Finite groups with many conjugate elements
• The \(S_ 3\)-conjecture for solvable groups
• Finite Groups in Which Every Element Has Prime Power Order
• Finite groups in which every pair of elements of the same order is either conjugate or inverse-conjugate

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