arXiv · math/0606043
We explain a conjecture relating the monster simple group to an algebraic variety that was discovered in a non-monstrous context.
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Daniel Allcock. 2007-07-01. A Monstrous Proposal. https://arxiv.org/abs/math/0606043
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We investigate reversible elements in the Picard modular group $\mathrm{PSL}(2,\mathbb{Z}[i])$. We show that reversibility coincides with strong reversibility for Kleinian groups, in particular for the Picard group. We classify reversible elements in the Picard group and characterize loxodromic reversible elements up to conjugacy. We prove that each such conjugacy class contains exactly eight special representatives. We also obtain asymptotic estimates for the number of reversible conjugacy classes with bounded trace.
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