Verification of the ordinary character table of the baby monster

DOI10.1016/j.jalgebra.2019.06.047zbMath1485.20017arXiv1902.07758OpenAlexW2969124070MaRDI QIDQ2193249

Kay Magaard, Thomas Breuer, Robert A. Wilson

Publication date: 25 August 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07758

zbMATH Keywords

baby monster

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: sporadic groups (20D08) Representations of sporadic groups (20C34) Computational methods for problems pertaining to group theory (20-08)

Uses Software

• GAP
• Magma
• MeatAxe
• CAS
• ATLAS Group Representations

Cites Work

• A characterization of Fischer's sporadic simple group of the order \(2^{41}\cdot 3^{13}\cdot 5^2\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31\cdot 47\)
• Presenting the Baby Monster
• The Magma algebra system. I: The user language
• Constructions of Fischer's Baby Monster over fields of characteristic not \(2\)
• Standard generators for sporadic simple groups
• The character table of \(2_+^{1+22}.Co_2\).
• A New Construction of the Baby Monster and Its Applications
• Conjugacy Class Representatives in Fischer's Baby Monster
• Reliability and reproducibility of Atlas information
• Finite Simple Groups: Thirty Years of the Atlas and Beyond
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