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Some Irrational Generalised Moonshine from Orbifolds

Rossen I. Ivanov, Michael P. Tuite

math.QAarXiv:math/0202275

Abstract

We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster 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.

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