Results 81 to 90 of about 5,389,809 (116)

SOME SUPERSOLVABILITY CONDITIONS FOR FINITE GROUPS

Mathematical Proceedings of the Royal Irish Academy, 2006
The influence of numerical bounds for certain invariants of a group on its subgroup structure has been investigated by generations of group-theorists. Likewise, CLT groups, i.e. groups satisfying the converse of the Lagrange Theorem, have been subjected to longstanding enquiry.
Barry, F., MacHale, D., Ní Shé, Á.
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A Criterion for p-Supersolvability of a Finite Group

Bulletin of the Iranian Mathematical Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Guanghao, Yu, Haoran
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The supersolvable residual of an -group

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
Let be the class of groups possessing a subgroup of index n for each divisor n of the group order. McLain (7) initiated the formal investigation of and observed that every solvable group is a direct factor of an -group. However, subclasses of provide some interesting problems.
Ben Brewster, Malcolm Ottaway
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A note on the p-supersolvability of finite groups

Journal of Group Theory, 2010
Let \(p\) be a prime. Let \(\mathcal K\) be the class of all groups \(K\) with the property: \(K\) is a semidirect product of \(Q\) by a cyclic group \(\langle x\rangle\) of order \(p\), where \(Q\) is a \(q\)-group for some prime \(q\neq p\), \([x,\Phi(Q)]=1\) and \(K/\Phi(Q)\) is a Frobenius group with complement \(\langle x\rangle\Phi(Q)/\Phi(Q ...
Chen, Songliang, Fan, Yun
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New Criteria of Supersolvability of Finite Groups

Acta Mathematica Vietnamica, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tang, Na, Li, Xianhua
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Supersolvable LL-lattices of binary trees [PDF]

Discrete Mathematics, 2005
Some posets of binary leaf-labeled trees are shown to be supersolvable lattices and explicit EL-labelings are given.
Frederic Chapoton
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The supersolvability of QCLT groups

Acta Mathematica Sinica, 1985
Only 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.
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On T-groups, supersolvable groups, and maximal subgroups

Archiv der Mathematik, 2010
The 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 ...
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Fitting cores and supersolvable groups

Ricerche di Matematica, 2010
Let 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
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On some sufficient conditions of supersolvability of finite groups

Publicationes Mathematicae Debrecen, 2004
A 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
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