Mathieu group M24 and modular forms

DOI10.1017/S0027763000021541zbMath0578.10030MaRDI QIDQ3699777

Masao Koike

Publication date: 1985

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

modular formDedekind eta-functionsymmetric grouptheta seriesMathieu groupFourier coefficientsLeech latticeTablesThompson seriescycle shapesFischer-Griess group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: sporadic groups (20D08) Holomorphic modular forms of integral weight (11F11)

Related Items (7)

The theta functions of sublattices of the Leech lattice ⋮ Modular forms and the automorphism group of Leech lattice ⋮ Dedekind \(\eta\)-function in modern research ⋮ Modular forms and group representation ⋮ The Dedekind eta-function in algebra and number theory: old and new problems ⋮ Elliptic genera and the moonshine module ⋮ The shadow theory of modular and unimodular lattices

Cites Work

• A representation of the Mathieu group \(M_{24}\) as a collineation group
• On McKay’s conjecture
• Monstrous Moonshine
• Finite Groups and Modular Functions

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