메뉴 건너뛰기




Volumn 156, Issue 1, 2000, Pages 23-32

The Noether bound in invariant theory of finite groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034362213     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.2000.1952     Document Type: Article
Times cited : (73)

References (17)
  • 3
    • 0033540586 scopus 로고    scopus 로고
    • Computation of invariants for reductive groups
    • Derksen H. Computation of invariants for reductive groups. Adv. Math. 141:1999;366-384.
    • (1999) Adv. Math. , vol.141 , pp. 366-384
    • Derksen, H.1
  • 4
    • 22044446175 scopus 로고    scopus 로고
    • A new degree bound for vector invariants of symmetric groups
    • Fleischmann P. A new degree bound for vector invariants of symmetric groups. Trans. Amer. Math. Soc. 350:1998;1703-1712.
    • (1998) Trans. Amer. Math. Soc. , vol.350 , pp. 1703-1712
    • Fleischmann, P.1
  • 5
    • 0001782931 scopus 로고    scopus 로고
    • On degree bounds for invariant rings of finite groups over finite fields
    • Fleischmann P., Lempken W. On degree bounds for invariant rings of finite groups over finite fields. Contemp. Math. 225:1997;33-41.
    • (1997) Contemp. Math. , vol.225 , pp. 33-41
    • Fleischmann, P.1    Lempken, W.2
  • 6
    • 0001062099 scopus 로고    scopus 로고
    • Relative trace ideals and Cohen-Macaulay quotients of modular invariant rings
    • P. Dräxler, G. Michler, & C. M. Ringel. Basel: Birkhäuser
    • Fleischmann P. Relative trace ideals and Cohen-Macaulay quotients of modular invariant rings. Dräxler P., Michler G., Ringel C. M. Computational Methods for Representations of Groups and Algebras. 1999;Birkhäuser, Basel.
    • (1999) Computational Methods for Representations of Groups and Algebras
    • Fleischmann, P.1
  • 7
    • 0000722817 scopus 로고
    • Computing bases for rings of permutation-invariant polynomials
    • Göbel M. Computing bases for rings of permutation-invariant polynomials. J. Symbolic Comput. 19:1995;285-291.
    • (1995) J. Symbolic Comput. , vol.19 , pp. 285-291
    • Göbel, M.1
  • 8
    • 0030102893 scopus 로고    scopus 로고
    • Calculating invariant rings of finite groups over arbitrary fields
    • Kemper G. Calculating invariant rings of finite groups over arbitrary fields. J. Symbolic Comput. 21:1996;351-366.
    • (1996) J. Symbolic Comput. , vol.21 , pp. 351-366
    • Kemper, G.1
  • 9
    • 34250957819 scopus 로고
    • Der Endlichkeitssatz der Invarianten endlicher Gruppen
    • Noether E. Der Endlichkeitssatz der Invarianten endlicher Gruppen. Math. Ann. 77:1916;89-92.
    • (1916) Math. Ann. , vol.77 , pp. 89-92
    • Noether, E.1
  • 10
    • 85037804799 scopus 로고
    • Der Endlichkeitssatz der Invarianten endlicher linearer Gruppen der Charakteristik p, Nachr. Ges. Wiss. Göttingen (1926), 28-35
    • Berlin: Springer-Verlag. p. 485-492
    • Noether E. Der Endlichkeitssatz der Invarianten endlicher linearer Gruppen der Charakteristik p, Nachr. Ges. Wiss. Göttingen (1926), 28-35. Collected Papers. 1983;Springer-Verlag, Berlin. p. 485-492.
    • (1983) Collected Papers
    • Noether, E.1
  • 11
    • 0030497131 scopus 로고    scopus 로고
    • Explicit generators of the invariants of finite groups
    • Richman D. Explicit generators of the invariants of finite groups. Adv. Math. 124:1996;49-76.
    • (1996) Adv. Math. , vol.124 , pp. 49-76
    • Richman, D.1
  • 12
    • 0030497161 scopus 로고    scopus 로고
    • Invariants of finite groups over fields of characteristic p
    • Richman D. Invariants of finite groups over fields of characteristic p. Adv. Math. 124:1996;25-48.
    • (1996) Adv. Math. , vol.124 , pp. 25-48
    • Richman, D.1
  • 13
    • 0003654392 scopus 로고
    • Finite Group Algebras and their Modules
    • Cambridge: Cambridge University Press
    • Landrock P. Finite Group Algebras and their Modules. London Math. Soc. Lecture Note Series. 1984;Cambridge University Press, Cambridge.
    • (1984) London Math. Soc. Lecture Note Series
    • Landrock, P.1
  • 14
    • 0030306825 scopus 로고
    • E. Noether's bound in the invariant theory of finite groups
    • Smith L. E. Noether's bound in the invariant theory of finite groups. Arch. Math. 66:1995;89-92.
    • (1995) Arch. Math. , vol.66 , pp. 89-92
    • Smith, L.1
  • 16
    • 0031515015 scopus 로고    scopus 로고
    • Polynomial invariants of finite groups, a survey of recent developments
    • Smith L. Polynomial invariants of finite groups, a survey of recent developments. Bull. Amer. Math. Soc. 1997;211-250.
    • (1997) Bull. Amer. Math. Soc. , pp. 211-250
    • Smith, L.1
  • 17
    • 0004109271 scopus 로고
    • Princeton: Princeton Univ. Press
    • Weyl H. The Classical Groups. 1953;Princeton Univ. Press, Princeton.
    • (1953) The Classical Groups
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.