``Moonshine of finite groups.

DOI10.4171/090zbMath1218.20001OpenAlexW1582206837MaRDI QIDQ1959083

Koichiro Harada

Publication date: 5 October 2010

Published in: EMS Series of Lectures in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/090

zbMATH Keywords

modular functionsmodular formsmoonshineeta-functionMonster simple group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (6)

Weakly holomorphic modular forms for some moonshine groups ⋮ Infinite families of congruences for \(\ell\)-regular partition functions ⋮ Generators of the ring of weakly holomorphic modular functions for \(\Gamma _1(N)\) ⋮ Valence formulas for certain arithmetic groups and their applications ⋮ Generators of function fields of the modular curves $X_1(5)$ and $X_1(6)$ ⋮ Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms

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