메뉴 건너뛰기




Volumn 64, Issue 2, 2001, Pages 489-500

On algebraic and geometric dimensions for groups with torsion

Author keywords

[No Author keywords available]

Indexed keywords


EID: 18544374604     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S002461070100240X     Document Type: Article
Times cited : (44)

References (33)
  • 2
    • 0002522870 scopus 로고
    • The virtual cohomological dimension of Coxeter groups
    • London Mathematical Society Lecture Note Series 181 eds. G. A. Niblo and M. Roller, Cambridge University Press
    • M. BESTVINA, 'The virtual cohomological dimension of Coxeter groups', Geometric group theory Vol. 1, London Mathematical Society Lecture Note Series 181 (eds. G. A. Niblo and M. Roller, Cambridge University Press, 1993) 19-23.
    • (1993) Geometric Group Theory , vol.1 , pp. 19-23
    • Bestvina, M.1
  • 3
    • 0031534568 scopus 로고    scopus 로고
    • Morse theory and finiteness properties of groups
    • M. BESTVINA and N. BRADY, 'Morse theory and finiteness properties of groups', Invent. Math. 129 (1997) 445-470.
    • (1997) Invent. Math. , vol.129 , pp. 445-470
    • Bestvina, M.1    Brady, N.2
  • 5
    • 0001401958 scopus 로고
    • J. H. C. Whitehead's asphericity question
    • London Mathematical Society Lecture Notes Series 197 eds. C. Hog-Angeloni, W. Metzler and A. J. Sieradski, Cambridge University Press
    • W. A. BOGLEY, 'J. H. C. Whitehead's asphericity question', Two-dimensional homotopy and combinatorial group theory, London Mathematical Society Lecture Notes Series 197 (eds. C. Hog-Angeloni, W. Metzler and A. J. Sieradski, Cambridge University Press, 1993) 309-334.
    • (1993) Two-dimensional Homotopy and Combinatorial Group Theory , pp. 309-334
    • Bogley, W.A.1
  • 8
    • 0004236195 scopus 로고
    • Graduate Texts in Mathematics 87 Springer
    • K. S. BROWN, Cohomology of groups, Graduate Texts in Mathematics 87 (Springer, 1982).
    • (1982) Cohomology of Groups
    • Brown, K.S.1
  • 9
    • 0001438960 scopus 로고
    • Groups generated by reflections
    • M. W. DAVIS, 'Groups generated by reflections', Ann. Math. 117 (1983) 293-324.
    • (1983) Ann. Math. , vol.117 , pp. 293-324
    • Davis, M.W.1
  • 11
    • 0002429594 scopus 로고    scopus 로고
    • Buildings are CAT(0)
    • London Mathematical Society Lecture Note Series 252 eds. P. H. Kropholler, G. A. Niblo and R. Stöhr, Cambridge University Press
    • M. W. DAVIS, 'Buildings are CAT(0)', Geometry and cohomology in group theory, London Mathematical Society Lecture Note Series 252 (eds. P. H. Kropholler, G. A. Niblo and R. Stöhr, Cambridge University Press, 1998) 108-123.
    • (1998) Geometry and Cohomology in Group Theory , pp. 108-123
    • Davis, M.W.1
  • 12
    • 0004132652 scopus 로고
    • Cambridge Studies in Advanced Mathematics 17 Cambridge University Press
    • W. DICKS and M. J. DUNWOODY, Groups acting on graphs, Cambridge Studies in Advanced Mathematics 17 (Cambridge University Press, 1989).
    • (1989) Groups Acting on Graphs
    • Dicks, W.1    Dunwoody, M.J.2
  • 13
    • 0007203057 scopus 로고    scopus 로고
    • On subgroups of Coxeter groups
    • London Mathematical Society Lecture Note Series 252 eds. P. H. Kropholler, G. A. Niblo and R. Stöhr, Cambridge University Press
    • W. DICKS and I. J. LEARY, 'On subgroups of Coxeter groups', Geometry and cohomology in group theory, London Mathematical Society Lecture Note Series 252 (eds. P. H. Kropholler, G. A. Niblo and R. Stöhr, Cambridge University Press, 1998) 124-160.
    • (1998) Geometry and Cohomology in Group Theory , pp. 124-160
    • Dicks, W.1    Leary, I.J.2
  • 14
    • 0000135473 scopus 로고
    • Accessibility and groups of cohomological dimension one
    • M. J. DUNWOODY, 'Accessibility and groups of cohomological dimension one', Proc. London Math. Soc. 38 (1979) 193-215.
    • (1979) Proc. London Math. Soc. , vol.38 , pp. 193-215
    • Dunwoody, M.J.1
  • 15
    • 0000401442 scopus 로고
    • On the Lusternik-Schnirelmann category of abstract groups
    • S. EILENBERG and T. GANEA, 'On the Lusternik-Schnirelmann category of abstract groups', Ann. of Math. 65 (1957) 517-518.
    • (1957) Ann. of Math. , vol.65 , pp. 517-518
    • Eilenberg, S.1    Ganea, T.2
  • 17
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • ed. S. M. Gersten, Mathematical Sciences Research Institute Publications 8 Springer
    • M. GROMOV, 'Hyperbolic groups', Essays in group theory (ed. S. M. Gersten), Mathematical Sciences Research Institute Publications 8 (Springer, 1987) 75-264.
    • (1987) Essays in Group Theory , pp. 75-264
    • Gromov, M.1
  • 18
    • 0007060514 scopus 로고
    • On pairs of 2-complexes and systems of equations over groups
    • J. HOWIE, 'On pairs of 2-complexes and systems of equations over groups', J. Reine Angew. Math. 324 (1981) 165-174.
    • (1981) J. Reine Angew. Math. , vol.324 , pp. 165-174
    • Howie, J.1
  • 19
    • 0001708954 scopus 로고    scopus 로고
    • Groups acting on finite-dimensional spaces with finite stabilizers
    • P. H. KROPHOLLER and G. MISLIN, 'Groups acting on finite-dimensional spaces with finite stabilizers', Comment. Math. Helv. 73 (1998) 122-136.
    • (1998) Comment. Math. Helv. , vol.73 , pp. 122-136
    • Kropholler, P.H.1    Mislin, G.2
  • 20
    • 0035343727 scopus 로고    scopus 로고
    • Every CW-complex is a classifying space for proper bundles
    • I. J. LEARY and B. E. A. NUCINKIS, 'Every CW-complex is a classifying space for proper bundles', Topology 40 (2001) 539-550.
    • (2001) Topology , vol.40 , pp. 539-550
    • Leary, I.J.1    Nucinkis, B.E.A.2
  • 22
    • 0034716871 scopus 로고    scopus 로고
    • The type of the classifying space for a family of subgroups
    • W. LÜCK, 'The type of the classifying space for a family of subgroups', J. Pure Appl. Algebra 149 (2000) 177-203.
    • (2000) J. Pure Appl. Algebra , vol.149 , pp. 177-203
    • Lück, W.1
  • 25
    • 0001286741 scopus 로고
    • Construction of universal bundles I
    • J. W. MILNOR, 'Construction of universal bundles I', Ann. Math. 63 (1956) 272-284.
    • (1956) Ann. Math. , vol.63 , pp. 272-284
    • Milnor, J.W.1
  • 27
    • 0034373922 scopus 로고    scopus 로고
    • Is there an easy algebraic characterization of universal proper G-spaces?
    • B. E. A. NUCINKIS, 'Is there an easy algebraic characterization of universal proper G-spaces?', Manuscripta Math. 102 (2000) 335-345.
    • (2000) Manuscripta Math. , vol.102 , pp. 335-345
    • Nucinkis, B.E.A.1
  • 28
    • 0442313280 scopus 로고
    • On the nontriviality of some group extensions given by generators and relations
    • O. S. ROTHAUS, 'On the nontriviality of some group extensions given by generators and relations', Ann. Math. 106 (1977) 599-612.
    • (1977) Ann. Math. , vol.106 , pp. 599-612
    • Rothaus, O.S.1
  • 29
    • 0011420312 scopus 로고
    • On virtual properties and group extensions
    • H. R. SCHNEEBELI, 'On virtual properties and group extensions', Math. Z. 159 (1978) 159-167.
    • (1978) Math. Z. , vol.159 , pp. 159-167
    • Schneebeli, H.R.1
  • 30
    • 51649180460 scopus 로고
    • Classifying spaces and spectral sequences
    • G. SEGAL, 'Classifying spaces and spectral sequences', Publ. I.H.E.S. 34 (1968) 105-112.
    • (1968) Publ. I.H.E.S. , vol.34 , pp. 105-112
    • Segal, G.1
  • 31
    • 0000229027 scopus 로고
    • On torsion-free groups with infinitely many ends
    • J. R. STALLINGS, 'On torsion-free groups with infinitely many ends', Ann. Math. 88 (1968) 312-334.
    • (1968) Ann. Math. , vol.88 , pp. 312-334
    • Stallings, J.R.1
  • 32
    • 0001480151 scopus 로고
    • Groups of cohomological dimension one
    • R. G. SWAN, 'Groups of cohomological dimension one', J. Algebra 12 (1969) 585-601.
    • (1969) J. Algebra , vol.12 , pp. 585-601
    • Swan, R.G.1
  • 33
    • 0003967369 scopus 로고    scopus 로고
    • Princeton Mathematical Series 35 Princeton University Press
    • W. P. THURSTON, Three-dimensional geometry and topology - Vol. 1, Princeton Mathematical Series 35 (Princeton University Press, 1997).
    • (1997) Three-dimensional Geometry and Topology , vol.1
    • Thurston, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.