Results 1 to 10 of about 1,123 (134)

Some results on π-solvable and supersolvable groups [PDF]

International Journal of Mathematics and Mathematical Sciences, 1994
For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups.
T. K. Dutta, A. Bhattacharyya
doaj   +6 more sources

On the commuting probability and supersolvability of finite groups [PDF]

Monatshefte für Mathematik, 2013
For a finite group $G$, let $d(G)$ denote the probability that a randomly chosen pair of elements of $G$ commute. We prove that if $d(G)>1/s$ for some integer $s>1$ and $G$ splits over an abelian normal nontrivial subgroup $N$, then $G$ has a nontrivial ...
Lescot, Paul, Nguyen, Hung Ngoc, Yang, Yong   +2 more
core   +7 more sources

ON THE SUPERSOLVABILITY OF BICYCLIC GROUPS. [PDF]

Proc Natl Acad Sci U S A, 1961
Douglas J.
europepmc   +7 more sources

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
openalex   +3 more sources

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
openalex   +4 more sources

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
openalex   +3 more sources

List Decoding Group Homomorphisms Between Supersolvable Groups [PDF]

, 2014
11 ...
Alan Guo, Madhu Sudan
  +7 more sources

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 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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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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