一般线性群的Jordan正则生成元

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI:10.18311/JIMS/2018/20971

M. Sahai, R. Sharma, P. Kumari

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引用次数: 1

摘要

本文介绍了约旦正规部队。特别地，证明了对于n≥2，一般线性群GL（2；F2n）可以由Jordan正则单元生成。此外，GL（2，F4）的演示；GL（2，F8）；已经获得了具有Jordan正则单元作为生成器的GL（2，F16）和GL（2、F32）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Jordan Regular Generators of General Linear Groups

In this article Jordan regular units have been introduced. In particular, it is proved that for n ≥ 2, the general linear group GL(2; F_2ⁿ) can be generated by Jordan regular units. Further, presentations of GL(2, F₄); GL(2, F₈); GL(2, F₁₆) and GL(2, F₃₂) have been obtained having Jordan regular units as generators.

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.