THE TRANSITIVE GROUPS OF DEGREE 14 AND 15

被引：10

作者：

BUTLER, G

机构：

[1] Centre Interuniversitaire en Calcul Mathématique Algébrique, Department of Computer Science, Concordia University, Montreal

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 1993年 / 16卷 / 05期

关键词：

D O I：

10.1006/jsco.1993.1056

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

All transitive groups of degree fourteen and fifteen up to conjugacy in the symmetric group are listed. The computations, carried out with Cayley, involve the use of subgroup lattices of quotient groups, preimages of the subgroups of the quotient, low index subgroups, systems of imprimitivity, and testing conjugacy of subgroups. Our results for degree fourteen agree with previous results of Miller in 1897, but the results for degree fifteen are new.

引用

页码：413 / 422

页数：10

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