메뉴 건너뛰기




Volumn 76, Issue 2, 2007, Pages 273-292

Algebraic invariants for Bestvina-Brady groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 44649119964     PISSN: 00246107     EISSN: 14697750     Source Type: Journal    
DOI: 10.1112/jlms/jdm045     Document Type: Article
Times cited : (30)

References (27)
  • 1
    • 0031534568 scopus 로고    scopus 로고
    • M. BESTVINA and N. BRADY, 'Morse theory and finiteness properties of groups', invent. Math. 129 (1997) 445-470.
    • M. BESTVINA and N. BRADY, 'Morse theory and finiteness properties of groups', invent. Math. 129 (1997) 445-470.
  • 2
    • 84967773645 scopus 로고
    • The K(π, 1)-problem for hyperplane complements associated to infinite reflection groups
    • R. CHARNEY and M. DAVIS, 'The K(π, 1)-problem for hyperplane complements associated to infinite reflection groups', J. Amer. Math. Soc. 8 (1995) 597-627.
    • (1995) J. Amer. Math. Soc , vol.8 , pp. 597-627
    • CHARNEY, R.1    DAVIS, M.2
  • 3
    • 33846568306 scopus 로고    scopus 로고
    • On the CAT(O) dimension of 2-dimensional Bestvina-Brady groups
    • J. CRISP, 'On the CAT(O) dimension of 2-dimensional Bestvina-Brady groups', Algebr. Geom. Topol. 2 (2002) 921-936.
    • (2002) Algebr. Geom. Topol , vol.2 , pp. 921-936
    • CRISP, J.1
  • 4
    • 22444455223 scopus 로고    scopus 로고
    • Presentations for subgroups of Artin groups
    • W. DICKS and I. LEARY, 'Presentations for subgroups of Artin groups', Proc. Amer. Math. Soc. 127 (1999) 343-348.
    • (1999) Proc. Amer. Math. Soc , vol.127 , pp. 343-348
    • DICKS, W.1    LEARY, I.2
  • 5
    • 70349205805 scopus 로고    scopus 로고
    • Formality, Alexander invariants, and a question of Serre
    • Preprint arxiv:math.AT/0512480
    • A. DIMOA, S. PAPADIMA and A. SUOIU, 'Formality, Alexander invariants, and a question of Serre', Preprint arxiv:math.AT/0512480.
    • DIMOA, A.1    PAPADIMA, S.2    SUOIU, A.3
  • 6
    • 85027234717 scopus 로고    scopus 로고
    • Quasi-Kähler Bestvina-Brady groups
    • arxiv:math.AG/0603446
    • A. DIMCA, S. PAPADIMA and A. SUCIU, 'Quasi-Kähler Bestvina-Brady groups', J. Algebraic Geom., arxiv:math.AG/0603446, http://www.ams.org/distribution/jag/0000-000-00/S1056- 3911-07-00463-8/.
    • J. Algebraic Geom
    • DIMCA, A.1    PAPADIMA, S.2    SUCIU, A.3
  • 7
    • 84968466454 scopus 로고
    • Isomorphisms of graph groups
    • C. DROMS, 'Isomorphisms of graph groups', Proc. Amer. Math. Soc. 100 (1987) 407-408.
    • (1987) Proc. Amer. Math. Soc , vol.100 , pp. 407-408
    • DROMS, C.1
  • 8
    • 0003053543 scopus 로고
    • The free partially commutative Lie algebra: Bases and ranks
    • G. DUCHAMP and D. KROB, 'The free partially commutative Lie algebra: bases and ranks', Adv. Math. 95 (1992) 92-126.
    • (1992) Adv. Math , vol.95 , pp. 92-126
    • DUCHAMP, G.1    KROB, D.2
  • 9
    • 30944454528 scopus 로고
    • The lower central series of the free partially commutative group
    • G. DUCHAMP and D. KROB, 'The lower central series of the free partially commutative group', Semigroup Forum 45 (1992) 385-394.
    • (1992) Semigroup Forum , vol.45 , pp. 385-394
    • DUCHAMP, G.1    KROB, D.2
  • 10
    • 0003243860 scopus 로고
    • Commutative algebra with a view towards algebraic geometry
    • Springer, New York
    • D. EISENBUD, 'Commutative algebra with a view towards algebraic geometry', Graduate Texts in Mathematics 150 (Springer, New York, 1995).
    • (1995) Graduate Texts in Mathematics , vol.150
    • EISENBUD, D.1
  • 11
    • 0002747135 scopus 로고
    • The lower central series of a fiber-type arrangement
    • M. FALK and R. RANDELL, 'The lower central series of a fiber-type arrangement', Invent. Math. 82 (1985) 77-88.
    • (1985) Invent. Math , vol.82 , pp. 77-88
    • FALK, M.1    RANDELL, R.2
  • 12
    • 26444454560 scopus 로고    scopus 로고
    • The cohomology of right-angled Artin groups with group ring coefficients
    • C. JENSEN and J. MEIER, 'The cohomology of right-angled Artin groups with group ring coefficients', Bull. London Math. Soc. 37 (2005) 711-718.
    • (2005) Bull. London Math. Soc , vol.37 , pp. 711-718
    • JENSEN, C.1    MEIER, J.2
  • 13
    • 0005199178 scopus 로고    scopus 로고
    • On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
    • M. KAPOVICH and J. MILLSON, 'On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties', Inst. Hautes Études Sci. Publ. Math. 88 (1998) 5-95.
    • (1998) Inst. Hautes Études Sci. Publ. Math , vol.88 , pp. 5-95
    • KAPOVICH, M.1    MILLSON, J.2
  • 14
    • 0011375166 scopus 로고
    • Homology of certain algebras defined by graphs
    • K. H. KIM and F. W. R.OUSH, 'Homology of certain algebras defined by graphs', J. Pure Appl. Algebra 17 (1980) 179-186.
    • (1980) J. Pure Appl. Algebra , vol.17 , pp. 179-186
    • KIM, K.H.1    R.OUSH, F.W.2
  • 15
    • 0007448131 scopus 로고    scopus 로고
    • K. H. KIM, L. MAKAR-LIMANOV, J. NEGGERS, F. W. ROUSH, 'Graph algebras', J. Algebra 64 (1980) 46-51.
    • K. H. KIM, L. MAKAR-LIMANOV, J. NEGGERS, F. W. ROUSH, 'Graph algebras', J. Algebra 64 (1980) 46-51.
  • 16
    • 85027222185 scopus 로고    scopus 로고
    • I. LEARY and M. SAADETOGLU, 'The cohomology of Bestvina-Brady groups', Preprint, 2006 (http://www.maths.abdn.ac.uk/~bensondj/ html/archive.html), available at http://www.maths.abdn.ac.uk/~bensondj/papers/1/ leary-saadetoglu/bbc.dvi.
    • I. LEARY and M. SAADETOGLU, 'The cohomology of Bestvina-Brady groups', Preprint, 2006 (http://www.maths.abdn.ac.uk/~bensondj/ html/archive.html), available at http://www.maths.abdn.ac.uk/~bensondj/papers/1/ leary-saadetoglu/bbc.dvi.
  • 17
    • 0042227584 scopus 로고    scopus 로고
    • Cohomology of the Orlik-Solomon algebras and local systems
    • A. LIBGOBER and S. YUZVINSKY, 'Cohomology of the Orlik-Solomon algebras and local systems', Compositio Math. 21 (2000) 337-361.
    • (2000) Compositio Math , vol.21 , pp. 337-361
    • LIBGOBER, A.1    YUZVINSKY, S.2
  • 18
    • 0000960767 scopus 로고
    • The Bieri-Neumann-Strebel invariants for graph groups
    • J. MEIER and L. VANWYK, 'The Bieri-Neumann-Strebel invariants for graph groups', Proc. London Math. Soc. (3) 71 (1995) 263-280.
    • (1995) Proc. London Math. Soc. (3) , vol.71 , pp. 263-280
    • MEIER, J.1    VANWYK, L.2
  • 20
    • 0010174835 scopus 로고    scopus 로고
    • Campbell-Hausdorff invariants of links
    • S. PAPADIMA, 'Campbell-Hausdorff invariants of links', Proc. London Math. Soc. 75 (1997) 641-670.
    • (1997) Proc. London Math. Soc , vol.75 , pp. 641-670
    • PAPADIMA, S.1
  • 22
    • 32544449149 scopus 로고    scopus 로고
    • Algebraic invariants for right-angled Artin groups
    • S. PAPADIMA and A. SUCIU, 'Algebraic invariants for right-angled Artin groups', Math. Annalen 334 (2006) 533-555.
    • (2006) Math. Annalen , vol.334 , pp. 533-555
    • PAPADIMA, S.1    SUCIU, A.2
  • 23
    • 33750917141 scopus 로고    scopus 로고
    • When does the associated graded Lie algebra of an arrangement group decompose?
    • S. PAPADIMA and A. SUCIU, 'When does the associated graded Lie algebra of an arrangement group decompose?', Comment. Math. Helv. 81 (2006) 859-875.
    • (2006) Comment. Math. Helv , vol.81 , pp. 859-875
    • PAPADIMA, S.1    SUCIU, A.2
  • 24
    • 0001531057 scopus 로고
    • Rational homotopy theory
    • D. QUILLEN, 'Rational homotopy theory', Ann. of Math. 90 (1969) 205-295.
    • (1969) Ann. of Math , vol.90 , pp. 205-295
    • QUILLEN, D.1
  • 25
    • 0001180643 scopus 로고
    • The homotopy type of Artin groups
    • M. SALVETTI, 'The homotopy type of Artin groups', Math. Res. Lett. 1 (1994) 565-577.
    • (1994) Math. Res. Lett , vol.1 , pp. 565-577
    • SALVETTI, M.1
  • 26
    • 0000792705 scopus 로고
    • A finitely presented group whose 3-dimensional integral homology is not finitely generated
    • J. STALLINGS, 'A finitely presented group whose 3-dimensional integral homology is not finitely generated', Amer. J. Math. 85 (1963) 541-543.
    • (1963) Amer. J. Math , vol.85 , pp. 541-543
    • STALLINGS, J.1
  • 27
    • 0038817897 scopus 로고    scopus 로고
    • Fundamental groups of line arrangements: Enumerative aspects
    • Advances in algebraic geometrymotivated by physics, American Mathematical Society, Providence
    • A. SUCIU, 'Fundamental groups of line arrangements: enumerative aspects', Advances in algebraic geometrymotivated by physics, Contemporary Mathematics 276 (American Mathematical Society, Providence, 2001) 43-79.
    • (2001) Contemporary Mathematics , vol.276 , pp. 43-79
    • SUCIU, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.