Still another proof of the existence of Sylow--subgroups.
Dress, Andreas W.M. (1994)
Beiträge zur Algebra und Geometrie
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Dress, Andreas W.M. (1994)
Beiträge zur Algebra und Geometrie
Similarity:
Changwen Li, Xuemei Zhang, Xiaolan Yi (2013)
Colloquium Mathematicae
Similarity:
The major aim of the present paper is to strengthen a nice result of Shemetkov and Skiba which gives some conditions under which every non-Frattini G-chief factor of a normal subgroup E of a finite group G is cyclic. As applications, some recent known results are generalized and unified.
Azarian, Mohammad K. (2001)
International Journal of Mathematics and Mathematical Sciences
Similarity:
J.C. BEIDLEMAN, D.J.S. ROBINSON (1991)
Forum mathematicum
Similarity:
Alejandro Adem (2001-2002)
Séminaire Bourbaki
Similarity:
Xianhua Li, A. Ballester-Bolinches (2006)
Bollettino dell'Unione Matematica Italiana
Similarity:
In this paper the concept of s-pair for a subgroup of a finite group is introduced and studied. It provides a uniform way to study the influence of some families of subgroups on the structure of a finite group. A criterion for a finite group to belong to a saturated formation and necessary and sufficient conditions for solubility, supersolvability and nilpotence of a finite group are given.
John G. Thompson (1967)
Mathematische Zeitschrift
Similarity:
L. M. Ezquerro, M. Gómez-Fernández, X. Soler-Escrivà (2005)
Bollettino dell'Unione Matematica Italiana
Similarity:
In this paper we prove the following results. Let π be a set of prime numbers and G a finite π-soluble group. Consider U, V ≤ G and such that and . Suppose also is a Hall π-sub-group of some S-permutable subgroup of G. Then and . Therefore,the set of all S-permutably embedded subgroups of a soluble group G into which a given Hall system Σ reduces is a sublattice of the lattice of all Σ-permutable subgroups of G. Moreover any two subgroups of this sublattice of coprimeorders...
James Beidleman, Hermann Heineken (2003)
Bollettino dell'Unione Matematica Italiana
Similarity:
We describe the finite groups satisfying one of the following conditions: all maximal subgroups permute with all subnormal subgroups, (2) all maximal subgroups and all Sylow -subgroups for permute with all subnormal subgroups.
Kazakevich, V.G., Stavrova, A.K. (2004)
Zapiski Nauchnykh Seminarov POMI
Similarity: