Geodesic
Finiteness of arithmetic hyperbolic reflection groups
Ian Agol1 ; Mikhail Belolipetsky2 ; Peter Storm3 ; Kevin Whyte4
1University of California, Berkeley, United States
2University of Durham, United Kingdom
3University of Pennsylvania, Philadelphia, United States
4University of Illinois at Chicago, United States
Groups, geometry, and dynamics, Tome 2 (2008) no. 4, pp. 481-498

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DOI

We prove that there are only finitely many conjugacy classes of arithmetic maximal hyperbolic reflection groups.
DOI : 10.4171/ggd/47
Classification : 20-XX, 11-XX, 22-XX, 00-XX
Mots-clés : Hyperbolic, arithmetic, reflection, group

Ian Agol  1   ; Mikhail Belolipetsky  2   ; Peter Storm  3   ; Kevin Whyte  4

1 University of California, Berkeley, United States
2 University of Durham, United Kingdom
3 University of Pennsylvania, Philadelphia, United States
4 University of Illinois at Chicago, United States 
Ian Agol; Mikhail Belolipetsky; Peter Storm; Kevin Whyte. Finiteness of arithmetic hyperbolic reflection groups. Groups, geometry, and dynamics, Tome 2 (2008) no. 4, pp. 481-498. doi: 10.4171/ggd/47
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     title = {Finiteness of arithmetic hyperbolic reflection groups},
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     pages = {481--498},
     year = {2008},
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     number = {4},
     doi = {10.4171/ggd/47},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/47/}
}
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