We summarize several results about non-simplicity, solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes. We also collect some problems that have only been partially solved
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
The question of how certain arithmetical conditions on the lengths of the conjugacy classes of a fin...
[EN] We survey known results concerning how the conjugacy classes contained in a normal subgroup and...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
[EN] We summarize several results about non-simplicity, solvability and normal structure of finite g...
© 2019, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of ...
Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ...
The aim of this paper is to show how the number of conjugacy classes appearing in the product of cla...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
This is a pre-print of an article published in Annali di Matematica Pura ed Applicata. The final aut...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
For an underlying finite group G, we establish estimates on the number of triples that bind a certai...
AbstractWe prove the Arad–Herzog conjecture for various families of finite simple groups — if A and ...
We survey known results concerning how the conjugacy classes contained in a normal subgroup and thei...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
The question of how certain arithmetical conditions on the lengths of the conjugacy classes of a fin...
[EN] We survey known results concerning how the conjugacy classes contained in a normal subgroup and...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
[EN] We summarize several results about non-simplicity, solvability and normal structure of finite g...
© 2019, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of ...
Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ...
The aim of this paper is to show how the number of conjugacy classes appearing in the product of cla...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
This is a pre-print of an article published in Annali di Matematica Pura ed Applicata. The final aut...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
For an underlying finite group G, we establish estimates on the number of triples that bind a certai...
AbstractWe prove the Arad–Herzog conjecture for various families of finite simple groups — if A and ...
We survey known results concerning how the conjugacy classes contained in a normal subgroup and thei...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
The question of how certain arithmetical conditions on the lengths of the conjugacy classes of a fin...
[EN] We survey known results concerning how the conjugacy classes contained in a normal subgroup and...
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