Results 51 to 60 of about 94 (79)
Groups Satisfying the Converse to Lagrange\u27s Theorem
Lagrange’s theorem, which is taught early on in group theory courses, states that the order of a subgroup must divide the order of the group which contains it. In this thesis, we consider the converse to this statement. A group satisfying the converse to
Henry, Jonah N
core
An Introduction To Solvable, Supersolvable, And Nilpotent Groups
Solvability and nilpotence form the core of this work. Appropriate to the undergraduate level, it begins with a review of the basic results of a first course in abstract algebra.
Curry, James
core
Sobre la conjetura de Zassenhaus para PSL(2,q), SL(2,q) y productos directos [PDF]
La Conjetura de Zassenhaus para PSL(2,q), SL(2,q) y productos directos En 1960 Zassenhaus enunció una serie de conjeturas sobre los subgrupos finitos de U(ZG) con G un grupo finito. Para todas ellas se encontraron contraejemplos durante los siguientes
Serrano Sánchez, Mariano
core
On the Strong θ~*-Completions for Maximal Subgroups of Finite Groups
首次给出有限群极大子群的强θ*-完备的定义,利用这一概念得到关于群可解性、超可解性的新的充要条件.In this paper,we give the definition of the θ*completions for a maximal subgroup of a finite group.By using this concept,we obtain some new characterizations of the solvable and supersolvable groups ...
杜妮
core
On the Solvability of a Group With Permutable Subgroups
İki çözülebilir grubun çarpımının çözülebililir olmayabileceği bilinmektedir. Bu tezde, V. S. Monakhov'un makalesine dayanarak $G=AB$ tipindeki sonlu grubun çözülebilirliği çalışılmıştır. Bir $G$ grubunun nilpotent ve öz-normalleyen bir altgrubu var ise,
Mohammed, Ola, Onur, Cansu Betin
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On the Strong Theta Completions for Maximal Subgroups
本文定义了有限群极大子群的强θ-完备这一概念.通过研究极大子群的强θ-完备对群结构的影响,给出了有限群可解性,超可解性,幂零性的一些新刻画,所得结果改进了以往的定理.This paper defines the concept of strong θ-completions for a maximal subgroup of a finite group.By using this concept,the authors obtain some new characterizations of the ...
李世荣, 杜妮
core
GBRDs over supersolvable groups and solvable groups of order prime to 3
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Julian R Abel +2 more
exaly +4 more sources
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Counting Abelian, nilpotent, solvable, and supersolvable group orders
Archiv Der Mathematik, 1978exaly +3 more sources
Indices of non-supersolvable maximal subgroups in finite groups
Two classic results, due to K. Doerk and P. Hall respectively, establish the solvability of those finite groups all of whose maximal subgroups are supersolvable, and the solvability of finite groups in which all maximal subgroups have prime or squared ...
Antonio Beltran +2 more
exaly +2 more sources

