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Presenting the Baby Monster

Authors
Journal
Journal of Algebra
0021-8693
Publisher
Elsevier
Publication Date
Volume
163
Issue
1
Identifiers
DOI: 10.1006/jabr.1994.1005

Abstract

Abstract We prove that Y 433, is isomorphic to 2 × 2 · F 2, where F 2 is Fischer′s Baby Monster group. This answers the last open problem concerning the description of Y-groups. The result implies in particular that Y 553 and Y 555 are fabulous systems of generators for the Monster and Bimonster, respectively, in a sense introduced by J.Conway. We also give a new independent proof that Y 555 is the Bimonster.

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