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Volumn 176, Issue 1, 2002, Pages 1-25

Partially commutative Artin-Coxeter groups and their arboreal structure

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EID: 0037038808     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(02)00051-8     Document Type: Article
Times cited : (4)

References (21)
  • 1
    • 0010836026 scopus 로고
    • (Ed.), Arboreal Group Theory, Mathematical Sciences Research Publications, Springer, Berlin
    • R.C. Alperin (Ed.), Arboreal Group Theory, Mathematical Sciences Research Publications, Vol. 19, Springer, Berlin, 1991.
    • (1991) , vol.19
    • Alperin, R.C.1
  • 2
    • 0000815893 scopus 로고
    • Length functions of group actions on Λ-trees
    • S.M. Gersten, J.R. Stallings (Eds.), Combinatorial Group Theory and Topology, Annals of Mathematics Studies, Princeton University Press, Princeton, NJ
    • R.C. Alperin, H. Bass, Length functions of group actions on Λ-trees, in: S.M. Gersten, J.R. Stallings (Eds.), Combinatorial Group Theory and Topology, Annals of Mathematics Studies, Vol. 111, Princeton University Press, Princeton, NJ, 1987, pp. 265-378.
    • (1987) , vol.111 , pp. 265-378
    • Alperin, R.C.1    Bass, H.2
  • 3
    • 0010905588 scopus 로고
    • On a problem raised by Alperin and Bass
    • R.C. Alperin (Ed.), Arboreal Group Theory, Mathematical Sciences Research Publications, Springer, Berlin
    • Ş.A. Basarab, On a problem raised by Alperin and Bass, in: R.C. Alperin (Ed.), Arboreal Group Theory, Mathematical Sciences Research Publications, Vol. 19, Springer, Berlin, 1991, pp. 35-68.
    • (1991) , vol.19 , pp. 35-68
    • Basarab, Ş.A.1
  • 4
    • 0010838170 scopus 로고
    • On a problem raised by Alperin and Bass I: Group actions on groupoids
    • Ş.A. Basarab, On a problem raised by Alperin and Bass I: group actions on groupoids, J. Pure Appl. Algebra 73 (1991) 1-12.
    • (1991) J. Pure Appl. Algebra , vol.73 , pp. 1-12
    • Basarab, Ş.A.1
  • 5
    • 4243388094 scopus 로고
    • The dual of the category of trees
    • Preprint Series of the Institute of Mathematics of the Romanian Academy No. 7
    • Ş.A. Basarab, The dual of the category of trees, Preprint Series of the Institute of Mathematics of the Romanian Academy No. 7, 1992, 21pp.
    • (1992) , pp. 21
    • Basarab, Ş.A.1
  • 6
    • 0010767625 scopus 로고
    • On a problem raised by Alperin and Bass II: Metric and order theoretic aspects
    • Preprint Series of the Institute of Mathematics of the Romanian Academy No. 10
    • Ş.A. Basarab, On a problem raised by Alperin and Bass II: metric and order theoretic aspects, Preprint Series of the Institute of Mathematics of the Romanian Academy No. 10, 1992, 30pp.
    • (1992) , pp. 30
    • Basarab, Ş.A.1
  • 7
    • 0031144501 scopus 로고    scopus 로고
    • Directions and foldings on generalized trees
    • Ş.A. Basarab, Directions and foldings on generalized trees, Fund. Inform. 30 (2) (1997) 125-149.
    • (1997) Fund. Inform , vol.30 , Issue.2 , pp. 125-149
    • Basarab, Ş.A.1
  • 8
    • 85041882182 scopus 로고    scopus 로고
    • Partially commutative Artin-Coxeter groups and their arboreal structure, I, II
    • Preprint Series of the Institute of Mathematics of the Romanian Academy No. 5, 20pp; 7, 1997
    • Ş.A. Basarab, Partially commutative Artin-Coxeter groups and their arboreal structure, I, II, Preprint Series of the Institute of Mathematics of the Romanian Academy No. 5, 1997, 20pp; 7, 1997, 26pp.
    • (1997) , pp. 26
    • Basarab, Ş.A.1
  • 9
    • 22044441624 scopus 로고    scopus 로고
    • On discrete hyperbolic arboreal groups
    • Ş.A. Basarab, On discrete hyperbolic arboreal groups, Commun. Algebra 26 (9) (1998) 2837-2865.
    • (1998) Commun. Algebra , vol.26 , Issue.9 , pp. 2837-2865
    • Basarab, Ş.A.1
  • 10
    • 85041878142 scopus 로고    scopus 로고
    • The arithmetic-arboreal residue structure of a Prüfer domain I
    • Fields Institute Communications, Vol. 32, to appear
    • Ş.A. Basarab, The arithmetic-arboreal residue structure of a Prüfer domain I, in: Valuation Theory and Its Applications, Vol. I, in: Fields Institute Communications, Vol. 32, 2001, to appear.
    • (2001) Valuation Theory and Its Applications , vol.1
    • Basarab, Ş.A.1
  • 11
    • 85041880389 scopus 로고
    • Groupes et Algébres de Lie, Mason, Paris (Chapitres 4-6)
    • N. Bourbaki, Groupes et Algébres de Lie, Mason, Paris 1981 (Chapitres 4-6).
    • (1981)
    • Bourbaki, N.1
  • 12
    • 0001081986 scopus 로고
    • Artin-Gruppen und Coxeter-Gruppen
    • E. Brieskorn, K. Saito, Artin-Gruppen und Coxeter-Gruppen, Invent. Math. 17 (1972) 245-271.
    • (1972) Invent. Math , vol.17 , pp. 245-271
    • Brieskorn, E.1    Saito, K.2
  • 13
    • 0010765446 scopus 로고
    • Buildings, Springer, Berlin
    • K.S. Brown, Buildings, Springer, Berlin, 1989.
    • (1989)
    • Brown, K.S.1
  • 14
    • 0003228035 scopus 로고
    • Problèmes combinatoires de commutation et réarrangements
    • Lecture Notes in Mathematics, Springer, Berlin
    • P. Cartier, D. Foata, Problèmes combinatoires de commutation et réarrangements, Lecture Notes in Mathematics, Vol. 85, Springer, Berlin, 1969.
    • (1969) , vol.85
    • Cartier, P.1    Foata, D.2
  • 15
    • 0000650424 scopus 로고
    • Les immeubles des groupes de tresses généralisés
    • P. Deligne, Les immeubles des groupes de tresses généralisés, Invent. Math. 17 (1972) 273-302.
    • (1972) Invent. Math , vol.17 , pp. 273-302
    • Deligne, P.1
  • 16
    • 0010767297 scopus 로고
    • Word Processing in Groups, Jones and Bartlett Publishers, Boston, MA
    • D. Epstein, Word Processing in Groups, Jones and Bartlett Publishers, Boston, MA, 1992.
    • (1992)
    • Epstein, D.1
  • 17
    • 0000181446 scopus 로고
    • Valuations, trees and degenerations of hyperbolic structures I
    • J. Morgan, P. Shalen, Valuations, trees and degenerations of hyperbolic structures I, Ann. Math. 120 (1984) 401-476.
    • (1984) Ann. Math , vol.120 , pp. 401-476
    • Morgan, J.1    Shalen, P.2
  • 18
    • 0003563041 scopus 로고    scopus 로고
    • Poc sets, median algebras and group actions
    • An extended study of Dunwoody's construction and Sageev's theorem, Southampton Preprint Archive
    • M. Roller, Poc sets, median algebras and group actions. An extended study of Dunwoody's construction and Sageev's theorem, Southampton Preprint Archive, 1998, http://www.maths.soton.ac.uk/pure/reprints.htm.
    • (1998)
    • Roller, M.1
  • 19
    • 0004211763 scopus 로고
    • Springer, Berlin
    • J.P. Serre, Trees, Springer, Berlin, 1986.
    • (1986) Trees
    • Serre, J.P.1
  • 20
    • 84968495672 scopus 로고
    • Trees, lattices, order, and betweenness
    • M. Sholander, Trees, lattices, order, and betweenness, Proc. Amer. Math. Soc. 3 (1952) 369-381.
    • (1952) Proc. Amer. Math. Soc , vol.3 , pp. 369-381
    • Sholander, M.1
  • 21
    • 0000512098 scopus 로고
    • Le probléme des mots dans les groupes de Coxeter
    • Symposia Mathematica (INDAM, Rome, 1976/68), Academic Press, New York
    • J. Tits, Le probléme des mots dans les groupes de Coxeter, Symposia Mathematica (INDAM, Rome, 1976/68), Vol. 1, Academic Press, New York, 1969, pp. 175-185.
    • (1969) , vol.1 , pp. 175-185
    • Tits, J.1


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