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111.
Let . Let be an ideal of and let be the maximal ideal of such that . Then . In particular, if is square free, then is self-normalized in .
112.
A. Borel 《Proceedings Mathematical Sciences》1987,97(1-3):45-52
In this noteG is a locally compact group which is the product of finitely many groups Gs(ks)(s∈S), where ks is a local field of characteristic zero and Gs an absolutely almost simplek
s-group, ofk
s-rank ≥1. We assume that the sum of the rs is ≥2 and fix a Haar measure onG. Then, given a constantc > 0, it is shown that, up to conjugacy,G contains only finitely many irreducible discrete subgroupsL of covolume ≥c (4.2). This generalizes a theorem of H C Wang for real groups. His argument extends to the present case, once it is shown
thatL is finitely presented (2.4) and locally rigid (3.2). 相似文献
113.
WANG Dengyin 《数学年刊B辑(英文版)》2001,22(2):243-248
Let L be a simple Lie algebra with irreducible root system φ having roots of different length,F be a field of characteristic different from 2,G=L(F) be a Chevalley group of type L over F.Denote by φ^1 the set of all long roots in φ.Set G^1=(zr(t);r∈φ^t,t∈F).It is a subgroup of G generated by all the long root subgroups.This paper determines the pronormality of G^1 in G when L is not of type G2. 相似文献
114.
对特征不为2的任意域上Ci型Chevaley群,构造了一类真包含单项子群的子群,从而否定回答子单项子群的极大性问题,同时证明了所构造的群恰为极大子群。 相似文献
115.
p-Frattini子群与P-中心 总被引:2,自引:0,他引:2
本文对p-Frattini子群进行了进一步的研究,给出了p-Frattini子群与p-中心的关系;我们的结果推广了Gaschutz在文献[1]中关于Frattini子群与群的中心间的关系. 相似文献
116.
117.
假定Fitting子群F(G)或广义Fitting子群F*(G)的某些子群在G中SQ-补来研究包含超可解群的饱和群系s,这里G∈s.一些已知结果被推广. 相似文献
118.
119.
In 1991, Asaad has suggested the following question: What can be said about the structure of a group G when information is known about the structure of a fuzzy subgroup A of G and vice-versa? This question has been partially investigated in Fuzzy Sets and Systems39 (1991) 323–328. The purpose of this paper is to continue more investigations for the above mentioned question. 相似文献
120.
Michael Wüstner 《manuscripta mathematica》1996,91(1):179-194
Summary The article investigate the structure of real solvable connected Lie groups. It is described how one can decompose a solvable
Lie group in direct and semidirect products of closed connected subgroups. In particular, the commutator group, Cartan subgroups,
the center, maximal compactly embedded subgroups and tori are considered. Furthermore, one can find special solvable Lie groups
and their product decompositions, namely compactly generated solvable Lie groups and those Lie groups which are generated
by maximal compactly embedded subgroups.
This article was processed by the author using the LATEX style filecljour1 from Springer-Verlag. 相似文献