메뉴 건너뛰기




Volumn 17, Issue 3, 2007, Pages 427-447

Irreducible coxeter groups

Author keywords

Indecomposable groups; Irreducible Coxeter groups; Virtually indecomposable groups

Indexed keywords


EID: 34547509596     PISSN: 02181967     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218196707003779     Document Type: Article
Times cited : (33)

References (26)
  • 1
    • 1842628693 scopus 로고    scopus 로고
    • Coxeter groups, Lorentzian lattices, and K3 surfaces
    • R. E. Borcherds, Coxeter groups, Lorentzian lattices, and K3 surfaces, Int. Math. Res. Not. 19 (1998) 1011-1031.
    • (1998) Int. Math. Res. Not , vol.19 , pp. 1011-1031
    • Borcherds, R.E.1
  • 2
    • 34547494951 scopus 로고    scopus 로고
    • N. Bourbaki, Groupes et Algèbres de Lie (Hermann, Paris, 1968), Chaps. 4-6.
    • N. Bourbaki, Groupes et Algèbres de Lie (Hermann, Paris, 1968), Chaps. 4-6.
  • 3
    • 0036412328 scopus 로고    scopus 로고
    • N. Brady, J. P. McCammond, B. Mühlherr and W. D. Neumann, Rigidity of Coxeter groups and Artin groups, in Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000), Geom. Dedicata 94 (2002) 91-109.
    • N. Brady, J. P. McCammond, B. Mühlherr and W. D. Neumann, Rigidity of Coxeter groups and Artin groups, in Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000), Geom. Dedicata 94 (2002) 91-109.
  • 4
    • 0033244688 scopus 로고    scopus 로고
    • Normalizers of parabolic subgroups in Coxeter groups
    • B. Brink and R. B. Howlett, Normalizers of parabolic subgroups in Coxeter groups, Invent. Math. 136(2) (1999) 323-351.
    • (1999) Invent. Math , vol.136 , Issue.2 , pp. 323-351
    • Brink, B.1    Howlett, R.B.2
  • 6
    • 0000762759 scopus 로고    scopus 로고
    • When is a Coxeter system determined by its Coxeter group?
    • R. Charney and M. Davis, When is a Coxeter system determined by its Coxeter group? J. London Math. Soc. (2) 61(2) (2000) 441-461.
    • (2000) J. London Math. Soc. (2) , vol.61 , Issue.2 , pp. 441-461
    • Charney, R.1    Davis, M.2
  • 7
    • 34547507627 scopus 로고    scopus 로고
    • Décompositions de groupes par produit direct et groupes de Coxeter
    • Asymptotic and Probabilistic Methods in Geometric Group Theory, Geneva , to appear
    • Y. de Cornulier and P. de la Harpe, Décompositions de groupes par produit direct et groupes de Coxeter, Proc. Conf. Asymptotic and Probabilistic Methods in Geometric Group Theory, Geneva (2005), to appear.
    • (2005) Proc. Conf
    • de Cornulier, Y.1    de la Harpe, P.2
  • 8
    • 0000243546 scopus 로고
    • Discrete groups generated by reflections
    • H. S. M. Coxeter, Discrete groups generated by reflections, Ann. of Math. (2) 35(3) (1934) 588-621.
    • (1934) Ann. of Math. (2) , vol.35 , Issue.3 , pp. 588-621
    • Coxeter, H.S.M.1
  • 10
    • 0000207320 scopus 로고
    • On the root system of a Coxeter group
    • V. V. Deodhar, On the root system of a Coxeter group, Commun. Algebra 10(6) (1982) 611-630.
    • (1982) Commun. Algebra , vol.10 , Issue.6 , pp. 611-630
    • Deodhar, V.V.1
  • 11
    • 0002650515 scopus 로고
    • Reflection subgroups of Coxeter systems
    • M. Dyer, Reflection subgroups of Coxeter systems, J. Algebra 135(1) (1990) 57-73.
    • (1990) J. Algebra , vol.135 , Issue.1 , pp. 57-73
    • Dyer, M.1
  • 13
    • 34547511227 scopus 로고    scopus 로고
    • E. Ghys and P. de la, Harpe (eds.), Sur les groupes hyperboliques d'après Mikhael Gromov, Swiss Seminar on Hyperbolic Groups, Bern (1988), Progress in Mathematics, 83 (Birkhäuser Boston Inc., Boston, MA, 1990).
    • E. Ghys and P. de la, Harpe (eds.), Sur les groupes hyperboliques d'après Mikhael Gromov, Swiss Seminar on Hyperbolic Groups, Bern (1988), Progress in Mathematics, Vol. 83 (Birkhäuser Boston Inc., Boston, MA, 1990).
  • 14
    • 0347939357 scopus 로고
    • Groupes de Coxeter infinis non affines
    • P. de la Harpe, Groupes de Coxeter infinis non affines, Expos. Math. 5(1) (1987) 91-96.
    • (1987) Expos. Math , vol.5 , Issue.1 , pp. 91-96
    • de la Harpe, P.1
  • 15
    • 0002625625 scopus 로고
    • Normalizers of parabolic subgroups of reflection groups
    • R. B. Howlett, Normalizers of parabolic subgroups of reflection groups, J. London Math. Soc. (2) 21(1) (1980) 62-80.
    • (1980) J. London Math. Soc. (2) , vol.21 , Issue.1 , pp. 62-80
    • Howlett, R.B.1
  • 16
    • 0031204356 scopus 로고    scopus 로고
    • On outer automorphism groups of Coxeter groups
    • R. B. Howlett, P. J. Rowley and D. E. Taylor, On outer automorphism groups of Coxeter groups, Manuscripta Math. 93(4) (1997) 499-513.
    • (1997) Manuscripta Math , vol.93 , Issue.4 , pp. 499-513
    • Howlett, R.B.1    Rowley, P.J.2    Taylor, D.E.3
  • 17
    • 0003198090 scopus 로고
    • Introduction to Lie Algebras and Representation Theory
    • Springer-Verlag, New York, Berlin
    • J. E. Humphreys, Introduction to Lie Algebras and Representation Theory, Graduate Texts in Mathematics, Vol. 9 (Springer-Verlag, New York, Berlin, 1972).
    • (1972) Graduate Texts in Mathematics , vol.9
    • Humphreys, J.E.1
  • 19
    • 0010988098 scopus 로고
    • Ph.D. thesis, Universiteit Utrecht , Available at
    • D. Krammer, The conjugacy problem for Coxeter groups, Ph.D. thesis, Universiteit Utrecht (1994), Available at http://www.maths.warwick.ac.uk/~daan/.
    • (1994) The conjugacy problem for Coxeter groups
    • Krammer, D.1
  • 20
    • 1642274978 scopus 로고    scopus 로고
    • Coxeter groups, Salem numbers and the Hubert metric
    • C. T. McMullen, Coxeter groups, Salem numbers and the Hubert metric, Publ. Math. Inst. Hautes Études Sci. 95 (2002) 151-183.
    • (2002) Publ. Math. Inst. Hautes Études Sci , vol.95 , pp. 151-183
    • McMullen, C.T.1
  • 21
    • 34547514838 scopus 로고    scopus 로고
    • The isomorphism problem for Coxeter groups
    • Amer. Math. Soc, Providence, RI
    • B. Mühlherr, The isomorphism problem for Coxeter groups, in The Coxeter Legacy (Amer. Math. Soc., Providence, RI, 2006), pp. 1-15.
    • (2006) The Coxeter Legacy , pp. 1-15
    • Mühlherr, B.1
  • 22
    • 33745612723 scopus 로고    scopus 로고
    • On the direct indecomposability of ininite irreducible Coxeter groups and the isomorphism problem of Coxeter groups
    • K. Nuida, On the direct indecomposability of ininite irreducible Coxeter groups and the isomorphism problem of Coxeter groups, Comm. Algebra 34(7) (2006) 2559-2595.
    • (2006) Comm. Algebra , vol.34 , Issue.7 , pp. 2559-2595
    • Nuida, K.1
  • 23
    • 7244254445 scopus 로고    scopus 로고
    • Artin groups of spherical type up to isomorphism
    • L. Paris, Artin groups of spherical type up to isomorphism, J. Algebra 281(2) (2004) 666-678.
    • (2004) J. Algebra , vol.281 , Issue.2 , pp. 666-678
    • Paris, L.1
  • 24
    • 0003248240 scopus 로고    scopus 로고
    • A Course in the Theory of Groups
    • 2nd edn, Springer-Verlag, New York
    • D. J. S. Robinson, A Course in the Theory of Groups, 2nd edn., Graduate Texts in Mathematics, Vol. 80 (Springer-Verlag, New York, 1996).
    • (1996) Graduate Texts in Mathematics , vol.80
    • Robinson, D.J.S.1
  • 25
    • 0001313205 scopus 로고    scopus 로고
    • L. Solomon, A Mackey formula, in the group ring of a Coxeter group, J. Algebra 41(2) (1976) 255-264.
    • L. Solomon, A Mackey formula, in the group ring of a Coxeter group, J. Algebra 41(2) (1976) 255-264.
  • 26
    • 84898002153 scopus 로고    scopus 로고
    • Groupes et géeométries de Coxeter
    • eds. S. S. Chern and F. Hirzebruch World Scientific Publishing Co, Inc, River Edge, NJ
    • J. Tits, Groupes et géeométries de Coxeter, in Wolf Prize in Mathematics, Vol. 2, eds. S. S. Chern and F. Hirzebruch (World Scientific Publishing Co., Inc., River Edge, NJ, 2001), pp. 740-754.
    • (2001) Wolf Prize in Mathematics , vol.2 , pp. 740-754
    • Tits, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.