All groups are finite. A subgroup H of a group G is called a primitive subgroup if it is a proper subgroup in the intersection of all subgroups of G containing H as its proper subgroup. He, Qiao and Wang [7] proved that every primitive subgroup of a group G has index a power of a prime if and only if G/Φ(G) is a solvable PST-group. Let X denote the class of groups G all of whose primitive subgroups have prime power index. It is established here that a group G is a solvable PST-group if and only if every subgroup of G is an X-group.Ballester-Bolinches, A.; Beidleman, J.; Esteban Romero, R. (2014). Primitive subgroups and PST-groups. Bulletin of the Australian Mathematical Society. 89(3):373-378. doi:10.1017/S0004972713000592373378893Hol...
The final publication is available at Springer via http://dx.doi.org/10.2478/s11533-013-0222-zA subg...
A subgroup K of a group G is said to be weakly normal in G if Kg <= NG(K) implies g in NG(K). In ...
[EN] This paper has been published in Journal of Group Theory, 12(6):961-963 (2009). Copyright 2009...
All groups are finite. A subgroup H of a group G is called a primitive subgroup if it is a proper su...
All groups are finite. A subgroup H of a group G is called a primitive subgroup if it is a proper su...
All groups considered in this paper are finite. A subgroup \(H\) of group \(G\) is called a primitiv...
All groups considered in this paper are finite. A subgroup \(H\) of group \(G\) is called a primitiv...
All groups considered in this paper are finite. A subgroup \(H\) of group \(G\) is called a primitiv...
All groups considered in this paper are finite. A subgroup \(H\) of group \(G\) is called a primitiv...
All groups considered in this paper are finite. A subgroup \(H\) of group \(G\) is called a primitiv...
This paper has been published in Journal of Group Theory, 10(2):205-210 (2007). Copyright 2007 by W...
Abstract. A finite group G is said to be a PST -group if, for subgroups H and K of G with H Sylow-pe...
This paper has been published in Journal of Algebra, 312(1):445-454 (2007). Copyright 2007 by Elsev...
Finite groups G for which for every subgroup H and for all primes q dividing the index |G : H| there...
AbstractA subgroup H of a group G is said to permute with the subgroup K of G if HK=KH. Subgroups H ...
The final publication is available at Springer via http://dx.doi.org/10.2478/s11533-013-0222-zA subg...
A subgroup K of a group G is said to be weakly normal in G if Kg <= NG(K) implies g in NG(K). In ...
[EN] This paper has been published in Journal of Group Theory, 12(6):961-963 (2009). Copyright 2009...
All groups are finite. A subgroup H of a group G is called a primitive subgroup if it is a proper su...
All groups are finite. A subgroup H of a group G is called a primitive subgroup if it is a proper su...
All groups considered in this paper are finite. A subgroup \(H\) of group \(G\) is called a primitiv...
All groups considered in this paper are finite. A subgroup \(H\) of group \(G\) is called a primitiv...
All groups considered in this paper are finite. A subgroup \(H\) of group \(G\) is called a primitiv...
All groups considered in this paper are finite. A subgroup \(H\) of group \(G\) is called a primitiv...
All groups considered in this paper are finite. A subgroup \(H\) of group \(G\) is called a primitiv...
This paper has been published in Journal of Group Theory, 10(2):205-210 (2007). Copyright 2007 by W...
Abstract. A finite group G is said to be a PST -group if, for subgroups H and K of G with H Sylow-pe...
This paper has been published in Journal of Algebra, 312(1):445-454 (2007). Copyright 2007 by Elsev...
Finite groups G for which for every subgroup H and for all primes q dividing the index |G : H| there...
AbstractA subgroup H of a group G is said to permute with the subgroup K of G if HK=KH. Subgroups H ...
The final publication is available at Springer via http://dx.doi.org/10.2478/s11533-013-0222-zA subg...
A subgroup K of a group G is said to be weakly normal in G if Kg <= NG(K) implies g in NG(K). In ...
[EN] This paper has been published in Journal of Group Theory, 12(6):961-963 (2009). Copyright 2009...