利用GAP研究一般线性群的抛物子群

数学季刊 ›› 2004, Vol. 19 ›› Issue (3): 221-231.

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利用GAP研究一般线性群的抛物子群

Department of Mathematics,University of Science and Technology of China,Hefei 230026,China

收稿日期:2002-12-14 出版日期:2004-09-30 发布日期:2024-03-08
作者简介:SaadA.Bedaiwi(1971-),male,native of Baghdad,Iraq,a lecturer of AL-MustansiriyahUnier- sity,Ph.D student of USTC,engages in algebra and computational group theory;LI Shang-zhi(1947-),male, native of Sichuan,a professor of University of Science and Technology of China,the earliest Ph.D.receiver in China,engages in algebra and group theory.
基金资助:
Supported by theNNSF of China(10071078)

An Investigation on the Parabolic Subgroups of the General Linear Groups by Using GAP

Department of Mathematics,University of Science and Technology of China,Hefei 230026,China

Received:2002-12-14 Online:2004-09-30 Published:2024-03-08
About author:SaadA.Bedaiwi(1971-),male,native of Baghdad,Iraq,a lecturer of AL-MustansiriyahUnier- sity,Ph.D student of USTC,engages in algebra and computational group theory;LI Shang-zhi(1947-),male, native of Sichuan,a professor of University of Science and Technology of China,the earliest Ph.D.receiver in China,engages in algebra and group theory.
Supported by:
Supported by theNNSF of China(10071078)

摘要/Abstract

摘要： A typical example for the algebraic groups is the general linear groups G = GL(n,F),we have studied the structure of such groups and paid special attention to its important substructures,namely the Parabolic subgroups.
For a given G we computed all the Parabolic subgroups and determined their number, depending on the fact that any finite group has a composition series and the composition factors of a composition series are simple groups which are completely classified,wereport here some investigations on the computed Parabolic subgroups.This has been done with the utility of GAP.

关键词: general , linear , group, parabolic , subgroup, GAP

Abstract: A typical example for the algebraic groups is the general linear groups G = GL(n,F),we have studied the structure of such groups and paid special attention to its important substructures,namely the Parabolic subgroups.
For a given G we computed all the Parabolic subgroups and determined their number, depending on the fact that any finite group has a composition series and the composition factors of a composition series are simple groups which are completely classified,wereport here some investigations on the computed Parabolic subgroups.This has been done with the utility of GAP.

Key words: general , linear , group, parabolic , subgroup, GAP

中图分类号:

Saad A Bedaiwi, 李尚志. 利用GAP研究一般线性群的抛物子群[J]. 数学季刊, 2004, 19(3): 221-231.

Saad A Bedaiwi, LI Shang-zhi . An Investigation on the Parabolic Subgroups of the General Linear Groups by Using GAP[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(3): 221-231.

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利用GAP研究一般线性群的抛物子群

An Investigation on the Parabolic Subgroups of the General Linear Groups by Using GAP

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