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A Note on Locally Primitive Arc-Transitive Graphs of Valency 8
《Algebra Colloquium》2024年第4期541-548,共8页Fateme Abedi M.Reza Salarian 
Let X be a connected G-locally primitive arc-transitive graph for some sub-group G of Aut(X).Suppose that X is a(G,s)-transitive graph.In this paper,we give a characterization of the vertex-stabilizer G,when X has val...
关键词：arc-transitive graph s-transitive graph (G s)-transitive graph locally prim-itivegraph 
On Modules Satisfying the Descending Chain Condition on Cyclic Submodules
《Algebra Colloquium》2020年第3期531-544,共14页Farid Kourki Rachid Tribak 
A module satisfying the descending chain condition on cyclic submodules is called coperfect.The class of coperfect modules lies properly bet ween the class of locally artinian modules and the class of semiartinian mod...
关键词：coperfect modules locally artinian modules perfect rings semiartinian modules(rings) 
Locally-primitive Arc-transitive lO-Valent Graphs of Square-free Order被引量：2
《Algebra Colloquium》2018年第2期243-264,共22页Guang Li Zaiping Lu Xiaoyuan Zhang 
This work was supported by the National Natural Science Foundation of China （grants 11371204, 11731002）.
In this paper, we present a complete classification for locally-primitive arctransitive graphs which have square-free order and valency 10. The classification involves nine graphs and three infinite families of graphs.
关键词：arc-transitive graph locally-primitive graph normal quotient vertexstabilizer （almost） simple group 
Locally Graded n-Bell Groups
《Algebra Colloquium》2016年第3期423-425,共3页Asadollah Faramarzi Salles 
Let n ≠ 0, 1 be an integer and Bn be the variety of n-Bell groups defined by the law [ xn, y] [ x, yn ] ^-1= 1. Let Bn be the class of groups in which for any infinite subsets X and Y there exist x ∈ X and y ∈ Y ...
关键词：n-Bell groups locally graded groups variety of groups 
Minimal Non-nilpotent and Locally Nilpotent Fusion Systems
《Algebra Colloquium》2016年第3期455-462,共8页Jun Liao Yanjun Liu 
Supported by the National 973 Project （452101650122） and the National Natural Science Foundation of China （11201194, 11301393）. In addition, the second author was supported by the doctoral foundation of Jiangxi Normal University.
The main purpose of this note is to show that there is a one-to-one corre- spondence between minimal non-nilpotent （resp., locally nilpotent） saturated fusion sys- tems and finite p J-core-free p-constrained minimal...
关键词：saturated fusion system minimal non-nilpotent locally nilpotent p-con-strained 
On Local Nilpotency of the Normal Subgroups of a Group
《Algebra Colloquium》2016年第3期531-540,共10页Zhirang Zhang Jiachao Li 
Project supported by the National Natural Science Foundation of China （Nos. 11371335, 11471055）.
A group G is said to have property μ whenever N is a non-locally nitpotent normal subgroup of G, there is a finite non-nilpotent G-quotient of N. FC-groups and groups with property v satisfy property μ, where a grou...
关键词：normal subgroups nilpotent groups locally nilpotent groups Frattini sub-group Hirsch-Plotkin radical 
Finite Locally-quasiprimitive Graphs
《Algebra Colloquium》2014年第4期627-634,共8页Shujiao Song Caiheng Li Dianjun Wang 
A graph F is called G-locally-quasiprimitive if each normal subgroup of Gv acts on F（v） trivially or transitively for every vertex v. In this paper we analyse the global action and the structural information of such...
关键词：locally-quasiprimitive EDGE-TRANSITIVE O＇Nan-Scott type 
Groups with Cyclic Outer Automizers
《Algebra Colloquium》2014年第3期381-398,共18页Maria Rosaria Celentani Giovanni Cutolo Antonella Leone 
We consider groups G such that NG（H）/HCG（H） is cyclic for all H ≤ G. More specifically, we characterise locally nilpotent and supersoluble groups with this property.
关键词：automizers locally nilpotent supersoluble soluble groups 
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