Abstract
We determine all collineation groups of finite translation planes of even order, which are generated by sufficiently large elementary abelian 2-subgroups all of whose involutions centralize a Baer subplane.
Similar content being viewed by others
Referenzen
Dempwolff, U. und Reifart, A.: Translation planes of order 16 admitting a Baer 4-group, J. of Comb. Theory, Ser. (A) 32 (1982), 119–124.
Ganley, M.J.; Baer involutions in semifields of even order; Geom. Ded. 2 (1972), 499–508.
Gilman, R. and Gorenstein, D.: Finite groups with Sylow 2-subgroups of class two I, II; Trans. Amer. Math. Soc. 207 (1975), 1–101; 103–125.
Hering, C.: On shears of translation planes; Abh. Math. Sem. Univ. Hamburg 37 (1972), 258–268.
Hering, C. and Ho, C.Y.: On free involutions in linear groups and collineation groups of translation planes (preliminary report); preprint.
Huppert, B.: Endliche Gruppen I; Springer, Berlin-Heidelberg-New York, 1967.
Johnson, N.L. and Ostrom, T.G.: The translation planes of order 16 that admit PSL(2,7); J. of Comb. Theory, Ser. (A) 26 (1979), 127–134.
Martineau, R.: On 2-modular representations of the Suzuki groups; Amer. J. Math. 1 (1972), 55–72.
Timmesfeld, F.G.: Groups with weakly closed TI-subgroups; Math. Z. 143 (1975), 243–278.
Zsigmondy, K.: Zur Theorie der Potenzreste; Monatshefte Math. Phys. 3 (1892), 265–284.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dempwolff, U. Grosse Baer-Untergruppen auf Translationsebenen gerader Ordnung. J Geom 19, 101–114 (1982). https://doi.org/10.1007/BF01930872
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01930872