Results 91 to 100 of about 234 (126)
Some of the next articles are maybe not open access.
Some sufficient conditions for a finite group to be supersolvable
Acta Mathematica Hungarica, 2011The authors extend the results of \textit{Ya. G. Berkovich} [Mat. Sb., N. Ser. 74(116), 75-92 (1967); translation in Math USSR, Sb. 3(1967), 69-83 (1969; Zbl 0183.02901)] and \textit{M. Asaad} [Commun. Algebra 38, No. 10, 3616-3620 (2010; Zbl 1205.20026)] by proving the following. Theorem~1.1. Let \(G\) be a group of odd order. Let \(G=G_1G_2\cdots G_n\
M Asaad, Monakhov V S
exaly +3 more sources
New Criteria of Supersolvability of Finite Groups
Acta Mathematica Vietnamica, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tang, Na, Li, Xianhua
openaire +2 more sources
The supersolvability of QCLT groups
Acta Mathematica Sinica, 1985Only finite groups are considered. A group is said to be CLT if every divisor of its order is the order of some subgroup. A group all of whose homomorphic images are CLT is said to be QCLT. Any supersolvable group is QCLT but the converse is false. \textit{J. F. Humphreys} [Proc. Camb. Philos. Soc.
openaire +2 more sources
On T-groups, supersolvable groups, and maximal subgroups
Archiv der Mathematik, 2010The article synthesizes several disparate but well-known concepts for finite groups. The T-groups, groups in which each subnormal subgroups is normal in the group, and the NNM-groups, groups in which each non-normal proper subgroup is contained in a non-normal maximal subgroup of the group, are related as follows within the collection of solvable ...
openaire +1 more source
Finite Minimal Non-$ \sigma $-Supersolvable Groups
Siberian Mathematical JournalAbstract Let $ \sigma $ be a partition of the set of all primes. A finite group $ G $ is said to be ...
O L Shemetkova
exaly +2 more sources
Fitting cores and supersolvable groups
Ricerche di Matematica, 2010Let A be a group. What can be said about the group B to ensure that A and the normal product AB belong to the same prescribed class of groups? Results in this direction are given for the classes of supersolvable groups, absolutely solvable groups and Lagrange groups.
James C. Beidleman, Hermann Heineken
openaire +1 more source
Schur indices and commutators in supersolvable groups
Journal of Group Theory, 2008\textit{U. Riese} and \textit{P. Schmid}, [in J. Algebra 182, No. 1, 183-200 (1996; Zbl 0859.20006)], proved that if the finite group \(G\) is supersolvable, then \(m(\chi)\) divides \(|G/G'|\) for all irreducible characters \(\chi\) of \(G\), where \(m(\chi)\) denotes the Schur index of \(\chi\) over the rational numbers.
openaire +2 more sources
Criterion for π-supersolvability for finite groups
Mathematical Notes, 1992See the review in Zbl 0770.20015.
openaire +1 more source
DFT-based Word Normalization in Finite Supersolvable Groups
Applicable Algebra in Engineering, Communication and Computing, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meinard Müller, Michael Clausen
openaire +2 more sources
On some sufficient conditions of supersolvability of finite groups
Publicationes Mathematicae Debrecen, 2004A subgroup \(H\) of a group \(G\) is called \(c\)-supplemented if there exists a subgroup \(K\) of \(G\) such that \(G=HK\) and \(H\cap K\leq H_G\). In this paper, among other results, the authors prove that if a finite group \(G\) contains a quaternion-free normal subgroup \(N\) such that \(G/N\) is supersoluble and every subgroup of prime order of ...
Wang, Yanming, Li, Yangming
openaire +1 more source