메뉴 건너뛰기




Volumn 225, Issue 2, 2000, Pages 989-1012

The Coset Poset and Probabilistic Zeta Function of a Finite Group

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034652937     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1999.8221     Document Type: Article
Times cited : (56)

References (27)
  • 1
    • 0001297269 scopus 로고
    • Sylow intersections and fusion
    • Alperin J. L. Sylow intersections and fusion. J. Algebra. 6:1967;222-241.
    • (1967) J. Algebra , vol.6 , pp. 222-241
    • Alperin, J.L.1
  • 3
    • 51249168332 scopus 로고
    • Simple connectivity of p-group complexes
    • Aschbacher M. Simple connectivity of p-group complexes. Israel J. Math. 82:1993;1-43.
    • (1993) Israel J. Math. , vol.82 , pp. 1-43
    • Aschbacher, M.1
  • 4
    • 0032272464 scopus 로고    scopus 로고
    • Alperin's fusion theorem and G-posets
    • Barker L. Alperin's fusion theorem and G-posets. J. Group Theory. 1:1998;357-362.
    • (1998) J. Group Theory , vol.1 , pp. 357-362
    • Barker, L.1
  • 5
    • 0000956933 scopus 로고
    • Topological methods
    • Amsterdam: Elsevier. p. 1819-1872
    • Björner A. Topological methods. Handbook of Combinatorics. 1995;Elsevier, Amsterdam. p. 1819-1872.
    • (1995) Handbook of Combinatorics
    • Björner, A.1
  • 6
    • 0002600133 scopus 로고    scopus 로고
    • A probabilistic generalization of the Riemann zeta function
    • Boston: Birkhäuser. p. 155-162
    • Boston N. A probabilistic generalization of the Riemann zeta function. Analytic Number Theory. 1996;Birkhäuser, Boston. p. 155-162.
    • (1996) Analytic Number Theory
    • Boston, N.1
  • 7
    • 0002843751 scopus 로고
    • Homologie de certains ensembles ordonnés
    • Bouc S. Homologie de certains ensembles ordonnés. C. R. Acad. Sci. Paris Sér. I Math. 299:1984;49-52.
    • (1984) C. R. Acad. Sci. Paris Sér. I Math. , vol.299 , pp. 49-52
    • Bouc, S.1
  • 8
    • 0030213223 scopus 로고    scopus 로고
    • Foncteurs d'ensembles munis d'une double action
    • Bouc S. Foncteurs d'ensembles munis d'une double action. J. Algebra. 183:1996;664-736.
    • (1996) J. Algebra , vol.183 , pp. 664-736
    • Bouc, S.1
  • 9
    • 85013906098 scopus 로고    scopus 로고
    • Polynomial ideals and classes of finite groups
    • S. Bouc, Polynomial ideals and classes of finite groups, J. Algebra, to appear.
    • J. Algebra, to Appear
    • Bouc, S.1
  • 10
    • 0002849752 scopus 로고
    • Euler characteristics of groups: The p-fractional part
    • Brown K. S. Euler characteristics of groups: the p-fractional part. Invent. Math. 29:1975;1-5.
    • (1975) Invent. Math. , vol.29 , pp. 1-5
    • Brown, K.S.1
  • 11
    • 0001668877 scopus 로고
    • A generalization of Sylow's third theorem
    • Brown K. S., Thévenaz J. A generalization of Sylow's third theorem. J. Algebra. 115:1988;414-430.
    • (1988) J. Algebra , vol.115 , pp. 414-430
    • Brown, K.S.1    Thévenaz, J.2
  • 14
  • 15
    • 84979326730 scopus 로고
    • Zu einem von B. H. und H. Neumann gestellten Problem
    • Gaschütz W. Zu einem von B. H. und H. Neumann gestellten Problem. Math. Nachr. 14:1955;249-252.
    • (1955) Math. Nachr. , vol.14 , pp. 249-252
    • Gaschütz, W.1
  • 16
    • 0000536618 scopus 로고
    • Die Eulersche Funktion endlicher auflösbarer Gruppen
    • Gaschütz W. Die Eulersche Funktion endlicher auflösbarer Gruppen. Illinois J. Math. 3:1959;469-476.
    • (1959) Illinois J. Math. , vol.3 , pp. 469-476
    • Gaschütz, W.1
  • 17
    • 77955478020 scopus 로고
    • The Eulerian functions of a group
    • Hall P. The Eulerian functions of a group. Quart. J. Math. 7:1936;134-151.
    • (1936) Quart. J. Math. , vol.7 , pp. 134-151
    • Hall, P.1
  • 18
    • 0003482808 scopus 로고
    • Die Grundlehren der Mathematischen Wissenschaften. Berlin: Springer-Verlag
    • Huppert B. Endliche Gruppen. I. Die Grundlehren der Mathematischen Wissenschaften. 134:1967;Springer-Verlag, Berlin.
    • (1967) Endliche Gruppen. I , vol.134
    • Huppert, B.1
  • 19
    • 85013985635 scopus 로고
    • Annals of Mathematics Studies. Princeton: Princeton Univ. Press
    • n over a Finite Field. Annals of Mathematics Studies. 81:1974;Princeton Univ. Press, Princeton.
    • (1974) n Over a Finite Field , vol.81
    • Lusztig, G.1
  • 20
    • 0004041372 scopus 로고
    • Berlin: Springer-Verlag
    • Mac Lane S. Homology. 1995;Springer-Verlag, Berlin.
    • (1995) Homology
    • Mac Lane, S.1
  • 21
    • 0040062210 scopus 로고    scopus 로고
    • Positively finitely generated groups
    • Mann A. Positively finitely generated groups. Forum Math. 8:1996;429-459.
    • (1996) Forum Math. , vol.8 , pp. 429-459
    • Mann, A.1
  • 22
    • 0001568358 scopus 로고
    • Homotopy properties of the poset of nontrivial p-subgroups of a group
    • Quillen D. Homotopy properties of the poset of nontrivial p-subgroups of a group. Adv. in Math. 28:1978;101-128.
    • (1978) Adv. in Math. , vol.28 , pp. 101-128
    • Quillen, D.1
  • 23
    • 0002606439 scopus 로고    scopus 로고
    • On the shellability of the order complex of the subgroup lattice of a finite group
    • J. Shareshian, On the shellability of the order complex of the subgroup lattice of a finite group, Trans. Amer. Math. Soc, to appear.
    • Trans. Amer. Math. Soc, to Appear
    • Shareshian, J.1
  • 24
    • 0003333961 scopus 로고
    • On the affine group over a finite field
    • Proc. Sympos. Pure Math. Providence: Am. Math. Soc. p. 145-147
    • Solomon L. On the affine group over a finite field. Representation Theory of Finite Groups and Related Topics. Proc. Sympos. Pure Math. XXI:1971;Am. Math. Soc. Providence. p. 145-147.
    • (1971) Representation Theory of Finite Groups and Related Topics , vol.21
    • Solomon, L.1
  • 25
    • 0000834039 scopus 로고
    • The affine group. I. Bruhat decomposition
    • Solomon L. The affine group. I. Bruhat decomposition. J. Algebra. 20:1972;512-539.
    • (1972) J. Algebra , vol.20 , pp. 512-539
    • Solomon, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.