Results 81 to 90 of about 234 (126)
Elementary Proofs of some Results on Representations of
, 1995 A result of Roquette [3] states that if D is an absolutely irreducible representation of a p-group G over the field of complex numbers, then D can be realized in K(Ø(g) j g 2 G), where Ø is the character of D and K = Q or K = Q(i) according to whether ...
M. A. Shokrollahi, Groups Shokrollahi
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On Supersolvable Groups and the Nilpotator
Communications in Algebra, 2004Abstract 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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A criterion for p-supersolvability of finite groups
Journal of Algebra and Its Applications, 2023Let [Formula: see text] be a finite group and [Formula: see text] a subgroup of [Formula: see text] We say that [Formula: see text] is an [Formula: see text]-subgroup of [Formula: see text] if [Formula: see text] for all [Formula: see text] [Formula: see text] is called weakly [Formula: see text]-embedded in [Formula: see text] if [Formula: see text ...
Asaad, M., Ramadan, M., Wei, Huaquan
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A note on p-supersolvable groups
Acta Mathematica Hungarica, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, R. S., Zhang, Q. H.
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On the supersolvable residual of an M-group
Journal of Algebra and Its Applications, 2018Using 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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Criteria for p-supersolvability of a finite group
Journal of Algebra and Its Applications, 2022In 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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SOME SUPERSOLVABILITY CONDITIONS FOR FINITE GROUPS
Mathematical Proceedings of the Royal Irish Academy, 2006The 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, 2018zbMATH 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, 1976Let 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, 2010Let \(p\) 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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