References
J. Conway et al., ATLAS of finite groups, Clarendon Press, Oxford (1985)
M. Aschbacher, Finite Group theory,Cambridge University Press (1988)
B. Chang, The conjugate classes of Chevalley groups of type (G 2)*,J. of Algebra,9(1968), 190–211
D. Deriziotis, G.O. Michler, Character tables and blocks of finite simple triality groups3D4(q),Trans. Amer. Math Soc.,303(1987), 39–70
H. Enomoto, The conjugate classes of Chevalley groups of typeG 2 over finite fields of characteristic 2 or 3,J. Fac. Sci. Univ. Tokyo,16(1969, 497–512
P. Fleischmann, I. Janiszczak, The semisimple conjugacy classes of finite groups of Lie type E6 and E7,Comm. in Alg.,21(1993), 93–161
P. Fleischmann, I. Janiszczak, The semisimple conjugacy classes and the generic class numbers of Chevalley groups of typeE s, Preprint No. 17, Inst. f. Exp. Math., (1992)
M. Gerstenhaber, D.J. Green, A group theoretic consequence of the Donald - Flanigan conjecture, Preprint No. 14, Inst. f. Exp. Math.,(1992)
D. Gorenstein, Finite Groups, Harper and Row, New York (1968)
B. Huppert, Endliche Gruppen I, Springer, Berlin, (1967)
B. Huppert, N. Blackburn, Finite Groups III, Springer, Berlin, (1982)
K. Shinoda, The conjugacy classes of Chevalley groups of typeF 4 over finite fields of characteristic 2,J. Fac. Sci. Univ. Tokyo,21(1974), 133–159
K. Shinoda, The conjugacy classes of the finite Ree groups of typeF 4,J. Fac. Sci. Univ. Tokyo,22(1975), 1–15
T. Shoji, The conjugacy classes of Chevalley groups of typeF 4 over finite fields of characteristic p # 2,J. Fac. Sci. Univ. Tokyo,21(1974), 1–17
T. A. Springer, R. Steinberg, „Conjugacy Classes“, in „Seminar on algebraic groups and related topics“, ed. Borel et al.,Springer LNM 131,(1970)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fleischmann, P., Janiszczak, I. & Lempken, W. Finite groups have local Non-Schur centralizers. Manuscripta Math 80, 213–224 (1993). https://doi.org/10.1007/BF03026547
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03026547