Fonction de Möbius d'un groupe fini et anneau de Burnside

Commentarii Mathematici Helvetici - Tập 59 Số 1 - Trang 425-438 - 1984
Charles Kratzer1, Jacques Thévenaz1
1Institut de Mathématiques, Université de Lausanne, CH-1015, Lausanne

Tóm tắt

Từ khóa


Tài liệu tham khảo

[A]Aigner, M. Combinatorial Theory. Springer Verlag, Berlin (1979).

[Br]Brown, K. S. Euler characteristics of groups: The p-fractional part. Invent. Math.29 (1975), 1–5.

[Bu]Burnside, W. Theory of Groups of Finite Order. 2nd edition, Cambridge (1911).

[De]Delsarte, S.,Fonctions de Möbius sur les groupes abéliens finis. Ann. of Math.49 (1948), 600–609.

[tD]Tom Dieck, T. Transformation Groups and Representation Theory. Springer Lecture Notes in Math.766 (1979).

[Dr]Dress, A. A characterisation of solvable groups. Math. Z.110 (1969), 213–217.

[G]Gluck, D. Idempotent formula for the Burnside algebra with applications to the p-subgroup simplicial complex. Ill. J. Math.25 (1981), 63–67.

[K-T]Kratzer, C. etThévenaz, J. Type d'homotopie des treillis et treillis des sous-groupes d'un groupe fini. A paraître.

[L]Lusztig, G. The discrete series of GL n over a finite field. Ann. of Math. Studies81 (1974), Princeton Univ. Press.

[R]Rota, G.-C. On the Foundations of Combinatorial Theory: I. Theory of Möbius Functions. Z. für Wahrscheinlich. und Verw. Gebiete2 (1964), 340–368.

[S]Solomon, L. The Burnside algebra of a finite group. J. Combin. Theory2 (1967), 603–615.

[Y]Yoshida, T. Idempotents of Burnside rings and Dress induction theorem. J. Alg.80 (1983), 90–105.