Add to ORKGWe present a characterization of the finite groups in which all real classes have prime powers size.Comment: The proof contains a mistake. Actually, it is not known weather there exists a 2-closed group whose real classes have prime power sizes, involving two distinct primes (that are necessarely 2 and an odd prime p
Let G be a finite p-solvable group and let G¤ be the set of elements of primary and biprimary order...
We use Schlage-Puchta's concept of p-deficiency and Lackenby's property of p-largeness to show that ...
In 2003, H\'{e}thelyi and K\"{u}lshammer proposed that if $G$ is a finite group and $p$ is a prime d...
Let G be a finite p-solvable group. We prove that if G has exactly two conjugacy class sizes of p'-e...
The greatest power of a prime $p$ dividing the natural number $n$ will bedenoted by $n_p$. Let $Ind_...
Let G be a finite p-solvable group. We prove that if G has exactly two conjugacy class sizes of p'-e...
We study a family of finitely generated residually finite small cancellation groups. These groups ar...
A finite group G satisfies the one-prime power hypothesis for conjugacy class sizes if any two conju...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
Let $G$ be a finite group, let $H$ be a core-free subgroup and let $b(G,H)$ denote the base size for...
LetG be a finite p-solvable group. We prove that ifG has exactly two conjugacy class sizes of p 0 -...
It is proved that a profinite group $G$ has fewer than $2^{\aleph_0}$ conjugacy classes of $p$-eleme...
AbstractLet G be a finite group. We extend Alan Camina's theorem on conjugacy class sizes which asse...
[EN] If G is a finite group and N is a normal subgroup of G with two C-conjugacy class sizes of elem...
We determine the structure of a finite group G whose noncentral real conjugacy classes have prime si...
Let G be a finite p-solvable group and let G¤ be the set of elements of primary and biprimary order...
We use Schlage-Puchta's concept of p-deficiency and Lackenby's property of p-largeness to show that ...
In 2003, H\'{e}thelyi and K\"{u}lshammer proposed that if $G$ is a finite group and $p$ is a prime d...
Let G be a finite p-solvable group. We prove that if G has exactly two conjugacy class sizes of p'-e...
The greatest power of a prime $p$ dividing the natural number $n$ will bedenoted by $n_p$. Let $Ind_...
Let G be a finite p-solvable group. We prove that if G has exactly two conjugacy class sizes of p'-e...
We study a family of finitely generated residually finite small cancellation groups. These groups ar...
A finite group G satisfies the one-prime power hypothesis for conjugacy class sizes if any two conju...
We consider finite groups in which, for all primes p, the p-part of the length of any conjugacy clas...
Let $G$ be a finite group, let $H$ be a core-free subgroup and let $b(G,H)$ denote the base size for...
LetG be a finite p-solvable group. We prove that ifG has exactly two conjugacy class sizes of p 0 -...
It is proved that a profinite group $G$ has fewer than $2^{\aleph_0}$ conjugacy classes of $p$-eleme...
AbstractLet G be a finite group. We extend Alan Camina's theorem on conjugacy class sizes which asse...
[EN] If G is a finite group and N is a normal subgroup of G with two C-conjugacy class sizes of elem...
We determine the structure of a finite group G whose noncentral real conjugacy classes have prime si...
Let G be a finite p-solvable group and let G¤ be the set of elements of primary and biprimary order...
We use Schlage-Puchta's concept of p-deficiency and Lackenby's property of p-largeness to show that ...
In 2003, H\'{e}thelyi and K\"{u}lshammer proposed that if $G$ is a finite group and $p$ is a prime d...