在Baby Monster找到47:23

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2016-05-18 DOI:10.1112/S1461157016000024

J. Bray, R. Parker, R. Wilson

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引用次数: 1

摘要

本文描述了寻找非常大群的非常小的极大子群的方法，并特别应用于小怪物的47:23子群。这个例子是完全难以处理的标准或幼稚的方法。在Thompson组$\text{Th}$中查找31:15的示例也作为测试用例进行了讨论。

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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Finding 47:23 in the Baby Monster

In this paper we describe methods for finding very small maximal subgroups of very large groups, with particular application to the subgroup 47:23 of the Baby Monster. This example is completely intractable by standard or naive methods. The example of finding 31:15 inside the Thompson group $\text{Th}$ is also discussed as a test case.

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.