Results 91 to 100 of about 1,123 (133)

Criteria for p-supersolvability of a finite group

Journal of Algebra and Its Applications, 2022
In this paper, we investigate the [Formula: see text]-supersolvability of a finite group in which some [Formula: see text]-subgroups satisfy a subgroup embedding property and we extend some known results.
Zhang, Boru, Li, Binbin, Lu, Jiakuan
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DFT-based Word Normalization in Finite Supersolvable Groups

Applicable Algebra in Engineering, Communication and Computing, 2004
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Müller, Meinard, Clausen, Michael
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On Supersolvable Groups and the Nilpotator

Communications in Algebra, 2004
Abstract A finite group G is called G a 𝒯-group if each subnormal subgroup of G is normal in G and a subgroup K of G is called an ℋ-subgroup of G if N G (K) ∩ K g  ⊆ K for all g ∈ G. Using the notion of ℋ-subgroups, we present some new conditions for supersolvability and we characterize supersolvable groups, which are either 𝒯-groups or
Piroska Csörgö, Marcel Herzog
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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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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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Locally supersolvable extensions of Abelian groups

Ukrainian Mathematical Journal, 1990
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Zaĭtsev, D. I., Maznichenko, V. A.
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Criterion for ?-supersolvability for finite groups

Mathematical Notes, 1992
See the review in Zbl 0770.20015.
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s-Permutably embedded subgroups and p-supersolvable groups

Science China Mathematics, 2013
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Qiao, Shouhong, Wang, Yanming
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On the supersolvable residual of an M-group

Journal of Algebra and Its Applications, 2018
Using the technique of linear limits of characters due to Dade and Loukaki, we give some conditions on the supersolvable residual of a finite solvable group [Formula: see text] that is sufficient to guarantee that [Formula: see text] is an [Formula: see text]-group. The monomiality of normal subgroups and Hall subgroups of the group [Formula: see text]
Zheng, Huijuan, Jin, Ping
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Finite Factorizable Groups with $$\mathbb P$$-Subnormal $$\mathrm v$$-Supersolvable and $$\mathrm{sh}$$-Supersolvable Factors

Mathematical Notes, 2022
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