Every in the Monster contains -elements

Author:

Wilson Robert A.

Abstract

We prove the assertion in the title by conducting an exhaustive computational search for subgroups isomorphic to $\text{PSL}_{2}(13)$ and containing elements in class $13B$.Supplementary materials are available with this article.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference11 articles.

1. A NEW COMPUTER CONSTRUCTION OF THE MONSTER USING 2-LOCAL SUBGROUPS

2. 11. R. A. Wilson , ‘An atlas of group representations’, http://brauer.maths.qmul.ac.uk/Atlas/.

3. The Finite Simple Groups

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1. A note on involution centralizers in black box groups;Journal of Group Theory;2020-03-01

2. The uniqueness of PSU 3(8) in the Monster;Bulletin of the London Mathematical Society;2017-08-04

3. Maximal subgroups of sporadic groups;Finite Simple Groups: Thirty Years of the Atlas and Beyond;2017

4. Is the Suzuki group Sz(8) a subgroup of the Monster?;Bulletin of the London Mathematical Society;2016-03-16

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