A theorem of O'Nan for finite linear spaces

• Autorzy: P.-H. Zieschang
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 65
• Numer: 1
• Strony: 13-24

Daty

wydano

1993

otrzymano

1992-04-09

Twórcy

autor

P.-H. Zieschang

• Mathematisches Seminar, Universität Kiel, Ludewig-Meyn-Str. 4, D-2300 Kiel 1, Germany

Bibliografia

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• [2] A. R. Camina, Permutation groups of even degree whose 2-point stabilisers are isomorphic cyclic 2-groups, Math. Z. 165 (1979), 239-242.
• [3] A. R. Camina, Groups acting flag-transitively on designs, Arch. Math. (Basel) 32 (1979), 424-430.
• [4] P. Dembowski, Finite Geometries, Springer, Berlin 1968.
• [5] W. Feit and J. G. Thompson, Solvability of groups of odd order, Pacific J. Math. 13 (1963), 771-1029.
• [6] G. Glauberman, Central elements in core-free groups, J. Algebra 4 (1966), 403-420.
• [7] D. Gorenstein, Finite Groups, Harper & Row, New York 1968.
• [8] H. Kurzweil, Endliche Gruppen, Springer, Berlin 1977.
• [9] M. O'Nan, A characterization of $L_n(q)$ as a permutation group, Math. Z. 127 (1972), 301-314.
• [10] M. O'Nan, Normal structure of the one-point stabilizer of a doubly-transitive permutation group. I, Trans. Amer. Math. Soc. 214 (1975), 1-42.
• [11] T. G. Ostrom and A. Wagner, On projective and affine planes with transitive collineation groups, Math. Z. 71 (1959), 186-199.
• [12] H. Wielandt, Finite Permutation Groups, Academic Press, New York 1964.
• [13] P.-H. Zieschang, Über eine Klasse von Permutationsgruppen, Dissertation, Univ. Kiel, 1983.
• [14] P.-H. Zieschang, Fahnentransitive Automorphismengruppen von Blockplänen, Geom. Dedicata 18 (1985), 173-180.