Factorization of one-generated formations

被引：2
|
作者：
Elovikov, AB
机构：
[1] I. G. Petrovskii Bryansk State University,
来源：
MATHEMATICAL NOTES | 2003年 / 73卷 / 5-6期
关键词：
formation of finite groups; one-generated formation; foliated formation with direction; internal satellite of a formation; hereditary foliated formation; factorization of a foliated formation;
D O I：
10.1023/A:1024008604410
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A large class of one-generated factorable foliated formations including composition, bicanonical, and other formations is described. V. A. Vedernikov suggested to study foliated formations with directions beta such that alpha less than or equal to beta less than or equal to gamma, where alpha and gamma are also some directions, from a unified point of view. We study one-generated factorable foliated formations with directions from the interval [alpha, gamma], where alpha and gamma are the directions of the bicanonical and composition formations, respectively. In particular, all irreducible factorizations of one-generated composition formations are studied.
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页码：643 / 655
页数：13
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