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1
Content available remote

On Hall subgroups of a finite group

100%
Guo W., Skiba A.
Open Mathematics
|
2013
|
tom 11
|
nr 7
1177-1187
EN
New criteria of existence and conjugacy of Hall subgroups of finite groups are given.
2
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Finite groups whose all second maximal subgroups are cyclic

81%
Ma L., Meng W., Ma W.
Open Mathematics
|
2017
|
tom 15
|
nr 1
611-615
EN
In this paper, we give a complete classification of the finite groups G whose second maximal subgroups are cyclic
3
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Algorithms for permutability in finite groups

61%
Ballester-Bolinches A., Cosme-Llópez E., Esteban-Romero R.
Open Mathematics
|
2013
|
tom 11
|
nr 11
1914-1922
EN
In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.
4
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Erratum to: “Subnormal, permutable, and embedded subgroups in finite groups”

61%
Beidleman J., Ragland M.
Open Mathematics
|
2012
|
tom 10
|
nr 2
835-836
EN
The original version of the article was published in Central European Journal of Mathematics, 2011, 9(4), 915–921, DOI: 10.2478/s11533-011-0029-8. Unfortunately, the original version of this article contains a mistake: Lemma 2.1 (2) is not true. We correct Lemma 2.2 (2) and Theorem 1.1 in our paper where this lemma was used.
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