Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A new lattice for the Hall-Janko group


Author: J. H. Lindsey
Journal: Proc. Amer. Math. Soc. 103 (1988), 703-709
MSC: Primary 20G20; Secondary 11H06, 20D08, 20G05
DOI: https://doi.org/10.1090/S0002-9939-1988-0947642-7
MathSciNet review: 947642
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Six by six matrix generators with entries in the rational numbers adjoined by a fifth root of unity, and most of these entries 0, are given for the proper central extension of the cyclic group of order 2 by the Hall-Janko group. They are found to preserve a $ 24$-dimensional lattice giving a packing of unit spheres with density about one fourth that of the Leach lattice.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20G20, 11H06, 20D08, 20G05

Retrieve articles in all journals with MSC: 20G20, 11H06, 20D08, 20G05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0947642-7
Article copyright: © Copyright 1988 American Mathematical Society