Addendum to: On volumes of arithmetic quotients of SO (1, n)

Mikhail Belolipetsky

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2007)

  • Volume: 6, Issue: 2, page 263-268
  • ISSN: 0391-173X

Abstract

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There are errors in the proof of uniqueness of arithmetic subgroups of the smallest covolume. In this note we correct the proof, obtain certain results which were stated as a conjecture, and we give several remarks on further developments.

How to cite

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Belolipetsky, Mikhail. "Addendum to: On volumes of arithmetic quotients of SO (1, n)." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.2 (2007): 263-268. <http://eudml.org/doc/272254>.

@article{Belolipetsky2007,
abstract = {There are errors in the proof of uniqueness of arithmetic subgroups of the smallest covolume. In this note we correct the proof, obtain certain results which were stated as a conjecture, and we give several remarks on further developments.},
author = {Belolipetsky, Mikhail},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {2},
pages = {263-268},
publisher = {Scuola Normale Superiore, Pisa},
title = {Addendum to: On volumes of arithmetic quotients of SO (1, n)},
url = {http://eudml.org/doc/272254},
volume = {6},
year = {2007},
}

TY - JOUR
AU - Belolipetsky, Mikhail
TI - Addendum to: On volumes of arithmetic quotients of SO (1, n)
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2007
PB - Scuola Normale Superiore, Pisa
VL - 6
IS - 2
SP - 263
EP - 268
AB - There are errors in the proof of uniqueness of arithmetic subgroups of the smallest covolume. In this note we correct the proof, obtain certain results which were stated as a conjecture, and we give several remarks on further developments.
LA - eng
UR - http://eudml.org/doc/272254
ER -

References

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  1. [1] M. Belolipetsky, On volumes of arithmetic quotients of SO ( 1 , n ) , Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) 3 (2004), 749–770. Zbl1170.11307MR2124587
  2. [2] A. Borel and G. Prasad, Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups, Inst. Hautes Études Sci. Publ. Math. 69 (1989), 119–171; Addendum, ibid. 71 (1990), 173–177. Zbl0712.11026MR1019963
  3. [3] M. Conder and C. Maclachlan, Compact hyperbolic 4-manifolds of small volume, Proc. Amer. Math. Soc.133 (2005), 2469–2476. Zbl1071.57013MR2138890
  4. [4] S. Lang, “Algebraic Number Theory”, Graduate Texts in Mathematics, Vol. 110. Springer-Verlag, New York, 1994. Zbl0811.11001MR1282723
  5. [5] V. P. Platonov and A. S. Rapinchuk, “Algebraic Groups and Number Theory”, Pure and Applied Mathematics, Vol. 139. Academic Press, Inc., Boston, MA, 1994. Zbl0841.20046MR1278263
  6. [6] A. Salehi Golsefidy, Lattices of minimum covolume in Chevalley groups over positive characteristic local fields, preprint. Zbl1161.22006MR2708642

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