Classification of finite groups according to the number of conjugacy classes

DOI10.1007/BF02764723zbMath0582.20014OpenAlexW4244321604MaRDI QIDQ1068932

Antonio Vera-López, Juan Antonio Vera López

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf02764723

zbMATH Keywords

number of conjugacy classesnumber of minimal normal subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30)

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FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES, 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, Classification of finite groups according to the number of conjugacy classes. II, Finite groups with at most six vanishing conjugacy classes, \(p\)-regular conjugacy classes and \(p\)-rational irreducible characters, About the finite groups whose minimal normal subgroups are union of two conjugacy classes exactly, On the number of conjugacy classes in a finite group, On the monoid algebra associated to the monomial characters of a finite group, Solvable groups with four conjugacy classes outside a normal subgroup, Prime divisors and the number of conjugacy classes of finite groups, On the number of Heisenberg characters of finite groups, Height zero characters in principal blocks, Two dual questions on zeros of characters of finite groups, Groups with few conjugacy classes, The principal p‐blocks with four irreducible characters, A NOTE ON THE NUMBER OF ZEROS IN THE COLUMNS OF THE CHARACTER TABLE OF A GROUP, Lower bounds for the number of conjugacy classes in finite solvable groups, The power graph on the conjugacy classes of a finite group, Classification of finite groups according to their conjugacy class lengths, 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, Finite groups whose irreducible characters vanish on at most three conjugacy classes, On zeros of characters of finite groups, Principal blocks with 5 irreducible characters, 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, Classification of non-solvable groups with a given property., COUNTING THE ORBITS ON FINITE SIMPLE GROUPS UNDER THE ACTION OF THE AUTOMORPHISM GROUP – SUZUKI GROUPS VS. LINEAR GROUPS

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