Results 191 to 200 of about 17,810 (215)
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On p-Brauer characters of p′-degree and self-normalizing Sylow p-subgroups
Journal of Group Theory, 2010The authors show that if \(G\) is a finite group and \(p\) is an odd prime, then a Sylow \(p\)-subgroup of \(G\) is self-normalizing if and only if \(G\) has no nontrivial irreducible \(p\)-Brauer character of degree not divisible by \(p\). For \(p\)-solvable groups, the number of irreducible \(p\)-Brauer characters of \(p'\)-degree is exactly \(|\text{
Navarro, Gabriel, Tiep, Pham Huu
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Odd-Degree Characters and Self-Normalizing Sylow 2-Subgroups: A Reduction to Simple Groups
Communications in Algebra, 2016Let G be a a finite group, p a prime, and P a Sylow p-subgroup of G. A recent refinement, due to G. Navarro, of the McKay conjecture suggests that there should exist a bijection between irreducible characters of p′-degree of G and NG(P) which commutes with certain Galois automorphisms.
Mandi Schaeffer Fry
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Finite groups with few self-normalizing subgroups
Colloquium Mathematicum, 2012Huaguo Shi, Zhangjia Han
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Nilpotent Self-Normalizing Subgroups and System Normalizers
Proceedings of the London Mathematical Society, 1962openaire +4 more sources
CLT-Groups with Normal or Self-normalizing Subgroups
Bulletin of the Iranian Mathematical Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Zhencai +3 more
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Solvable subgroups in groups with self-normalizing subgroup
Ukrainian Mathematical Journal, 2008Summary: We study the structure of some solvable finite subgroups in groups with self-normalizing subgroup.
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On groups whose transitively normal subgroups are either normal or self-normalizing
Annali di Matematica Pura ed Applicata, 2012A subgroup \(M\) of a group \(G\) is transitively normal if \(M\) is a normal subgroup of any subgroup \(T\) in which it is subnormal. Soluble T-groups and many locally nilpotent groups belong to the class of groups indicated in the title: The intersection of this class with the classes of hyperfinite groups, locally finite hypofinite groups and ...
Otal, Javier +2 more
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Groups with many normal or self-normalizing subgroups
Rendiconti del Circolo Matematico di Palermo, 1998A subgroup \(H\) of a group \(G\) is said to be a \(\xi\)-group if either \(H\) is normal in \(G\) or coincides with its normalizer in \(G\). A group \(G\) is called an \(\mathcal E\)-group if all its subgroups have the property \(\xi\). These groups were studied by \textit{G. Giordano} [Matematiche 26(1971), 291-296 (1972; Zbl 0254.20024)]. \textit{N.
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Groups with many self-normalizing subgroups.
2009Summary: This paper investigates the structure of groups in which all members of a given relevant set of subgroups are self-normalizing. In particular, soluble groups in which every non-Abelian (or every infinite non-Abelian) subgroup is self-normalizing are described. Let \(\mathcal H\) be the class of all groups in which every non-Abelian subgroup is
DE FALCO, MARIA +2 more
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A nonabnormal subgroup contained only in self-normalizing subgroups in a finite group
Archiv der Mathematik, 1998A subgroup \(U\) of a finite group \(G\) is said to be abnormal in \(G\) provided \(g\in\langle U,U^g\rangle\) for all \(g\in G\). For soluble groups \(G\), \(U\) is abnormal in \(G\) if and only if \(N_G(V)=V\) for every subgroup \(V\) containing \(U\) of \(G\). Answering a question raised by \textit{K. Doerk} and \textit{T.
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