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Pure mathematics, Applied mathematics
We verify the Generalised Moonshine conjectures for some irrational modular functions for theMonster centralisers related to the Harada-Norton, Held, M12 and L3(3) simple groups based on certain orbifolding constraints. We find explicitly the fixing groups of the hauptmoduls arising in each case.
R. Ivanov and M.P. Tuite, Some Irrational Generalised Moonshine from Orbifolds, Nuclear Physics B 635, n 3, (2002) 473-491;