Results 11 to 20 of about 1,123 (138)

Nilpotent by Supersolvable M-Groups [PDF]

Canadian Journal of Mathematics, 1985
A character of a finite group G is monomial if it is induced from a linear (degree one) character of a subgroup of G. A group G is an M-group if all its complex irreducible characters (the set Irr(G)) are monomial.In [1], Dade gave an example of an M-group with a normal subgroup which is itself not an M-group. In his group G, the supersolvable residual
Alan E. Parks
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p-supersolvability of factorized finite groups [PDF]

Hokkaido Mathematical Journal, 1992
The author calls two subgroups \(H\), \(K\) of a group mutually permutable if \(H\) is permutable with every subgroup of \(K\) and \(K\) is permutable with every subgroup of \(H\). He obtains the following main results: If \(G = HK \neq 1\) and \(H\) and \(K\) are mutually permutable, then \(H\) or \(K\) contains a nontrivial normal subgroup of \(G ...
Ángel Carocca
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List Decoding Group Homomorphisms Between Supersolvable Groups [PDF]

, 2014
11 ...
Alan Guo, Madhu Sudan
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Finite Minimal Non-$ \sigma $-Supersolvable Groups [PDF]

Siberian Mathematical Journal
Abstract Let $ \sigma $ be a partition of the set of all primes. A finite group $ G $ is said to be $ \sigma $ -supersolvable if every $ G $ -chief factor of its $ \sigma $ -nilpotent residual is cyclic ...
О. Л. Шеметкова
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Minimal non-nilpotent groups which are supersolvable [PDF]

, 2009
The structure of a group which is not nilpotent but all of whose proper subgroups are nilpotent has interested the researches of several authors both in the finite case and in the infinite case. The present paper generalizes some classic descriptions of M. Newman, H. Smith and J. Wiegold in the context of supersolvable groups.
Francesco G. Russo
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Supersolvable M^*-groups [PDF]

Glasgow Mathematical Journal, 1988
A compact bordered Klein surface of genus g ≥ 2 has maximal symmetry [4] if its automorphism group is of order 12(g − 1), the largest possible. An M*-group [8] acts on a bordered surface with maximal symmetry. The first important result about these groups was that they must have a certain partial presentation [8, p. 5].
Coy L. May
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Supersolvable Frobenius groups with nilpotent centralizers [PDF]

Journal of Pure and Applied Algebra, 2018
Let $FH$ be a supersolvable Frobenius group with kernel $F$ and complement $H$. Suppose that a finite group $G$ admits $FH$ as a group of automorphisms in such a manner that $C_G(F)=1$ and $C_{G}(H)$ is nilpotent of class $c$. We show that $G$ is nilpotent of $(c,\left|FH\right|)$-bounded class.
Jhone Caldeira, Emerson de Melo
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Two-closures of supersolvable permutation groups in polynomial time [PDF]

computational complexity, 2020
The $2$-closure $\overline{G}$ of a permutation group $G$ on $Ω$ is defined to be the largest permutation group on $Ω$, having the same orbits on $Ω\timesΩ$ as $G$. It is proved that if $G$ is supersolvable, then $\overline{G}$ can be found in polynomial time in $|Ω|$.
Ilia Ponomarenko, Andrey Vasil’ev
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Counting supersolvable and solvable group orders [PDF]

Research in Mathematics
Edward A. Bertram, Guanhong Li
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Computing Irreducible Representations of Supersolvable Groups [PDF]

Mathematics of Computation, 1994
Recently, it has been shown that the ordinary irreducible representations of a supersolvable group G of order n given by a power-commutator presentation can be constructed in time O ( n 2 log ⁡ n ) O({n^2}\log n) .
Baum, Ulrich, Clausen, Michael
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