Classification of finite groups according to the number of conjugacy classes. II

DOI10.1007/BF02766124zbMath0635.20010MaRDI QIDQ1097348

Antonio Vera-López, Juan Antonio Vera López

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite groupsnumber of conjugacy classesnumber of minimal normal subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)

Related Items

THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY, The Conjugacy Class Number k(G): A Different Perspective, Arithmetical conditions on the conjugacy vector of a finite group, \(p\)-regular conjugacy classes and \(p\)-rational irreducible characters, On the number of conjugacy classes in a finite group, \(X\)-decomposable finite groups for \(X=\{1, m,m + 1, m + 2\}\), Prime divisors and the number of conjugacy classes of finite groups, Groups with small multiplicities of fields of values of irreducible characters, A lower bound for the number of conjugacy classes of a finite group., On the number of conjugacy classes of a finite solvable group. II., Groups with few conjugacy classes, Lower bounds for the number of conjugacy classes in finite solvable groups, Classification of finite groups according to their conjugacy class lengths, On finite \(X\)-decomposable groups for \(X=\{1,2,4\}\)., Finite group modular data, New lower bounds for the number of conjugacy classes in finite nilpotent groups, NEW REDUCTIONS AND LOGARITHMIC LOWER BOUNDS FOR THE NUMBER OF CONJUGACY CLASSES IN FINITE GROUPS, On the number of conjugacy classes in a finite group. II, An algorithm for constructing all supercharacter theories of a finite group, 2-groups with few conjugacy classes

Cites Work

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• On finite groups containing an element of order four which commutes only with its powers
• Generalized Frobenius groups
• Classification of finite groups according to the number of conjugacy classes
• Some conditions which almost characterize Frobenius groups.
• Some p-groups of Frobenius and extra-special type
• On finite groups having self-centralizing 2-subgroups of small order
• Finite groups admitting an automorphism with two fixed points
• Groups with many conjugate elements
• Groups involving five complete sets of non-invariant conjugate operators
• On a Theorem of Holder
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Finite groups whose 2-subgroups are generated by at most 4 elements
• Finite Groups with a given Number of Conjugate Classes
• Endliche Gruppen I
• Finite Groups which Contain a Selfcentralizing Subgroup of Order 3
• Conjugacy classes in finite groups