Recent Literature

(newer than the monograph) about

Compact Projective Planes

and

literature about related topics.


Bödi, R.
[1997] Smooth stable planes, Results Math. 31, 300--321.
[1998] Solvable collination groups of smooth projective planes, Beiträge zur Geometrie und Algebra 39, 121--133.

Grundhöfer, T.; Knarr, N.; Kramer, L.
[1995] Flag-homogeneous compact connected polygons. Geom. Dedicata 55, No.1, 95-114.
[1998] Flag-homogeneous compact connected polygons II. Preprint.

T. Grundhöfer, R. Löwen
[1995] Linear topological geometries, in: F. Buekenhout, ed.: Handbook of Incidence Geometry, Elsevier, 1995, pp 1255-1325.   [Zbl 824.51011]

Joswig, M.
[1994] Translationsvierecke, Dissertation, Univ. Tübingen, Math. Fak.
[1996] Translation generalized quadrangles, Arch. Math. 67 No.3, 253-264.   [Zbl 856.51004]

Knarr, N.
[1990] The nonexistence of certain topological polygons, Forum Math. 2, no. 6, 603--612.
[1991] Sharply transitive subsets of PGL(2,F) and spreads covered by derivable partial spreads, J. Geom. 40, no. 1-2, 121--124.
[1992] A geometric construction of generalized quadrangles from polar spaces of rank three Results Math. 21, no. 3-4, 332--344.
[1995] Translation planes. Foundations and construction principles, Lecture Notes in Mathematics, 1611. Springer-Verlag, Berlin.

Knarr, N. -- Kramer, L.
[1995] Projective planes and isoparametric hypersurfaces, Geom. Dedicata 58, no. 2, 193--202.

Kramer, L.
[1994] Compact polygons. Diss. Tübingen: Math. Fak. Univ. Tübingen vi, 72p.

Löwen, R.
[1995] Ends of surface geometries, revisited, Geometriae Dedicata 58, 175 - 183.
[1998a] Affine Hughes groups acting on 4-dimensional compact projective planes, Forum Math., to appear.
[1998b] Nonexistence of disjoint compact Baer subplanes, Arch. Math. 73 (1999), 235-240. Preprint 98/08, Technische Universität Braunschweig.

Priwitzer, B.
[1997] Large semisimple groups on 16-dimensional compact projective planes are almost simple Arch. Math. 68, 430--440.   [Zbl 877.51014]
[1998] Large almost simple groups acting on 16-dimensional compact projective planes Monatsh. Math. (to appear).

Priwitzer, B. -- Salzmann, H.
[1998] Large automorphism groups of 16-dimensional planes are Lie groups J. of Lie Theory 8, 83 - 93.

Salzmann, H.
[1998a] Characterization of 16-dimensional Hughes planes Arch. Math. 71, 249-256.
[1998b] Compact 16-dimensional projective planes Results Math. 35 (1998), no. 1-2, 192--196.
[1999a] Large automorphism groups of 16-dimensional planes are Lie groups. II. J. of Lie Theory 9 (1999), no. 2, 481--486.
[2000] On the classification of 16-dimensional planes. Beitr. Alg. Geom. 41 (2000), 557--568.
[2001] Near-homogeneous 16-dimensional planes. Adv. Geom. 1 (2001), 145 -- 155.
[2003a] Baer subplanes. Illinois J. Math. (2003).
[2003a] 16-dimensional compact projective planes with 3 fixed points. Adv. Geom. (2003).

Schroth, A.
[1992] Topologische Laguerreebenen und topologische Vierecke. Dissertation, Braunschweig.
[1995] Topological circle planes and topological quadrangles. Longman.

Stroppel, B. -- Stroppel, M.
[1998] The automorphism group of a compact generalized polygon has finite dimension. Monatshefte Math. 127 (1999), 343--347.

Stroppel, M.
[1998a] A characterization of quaternion planes, revisited. Geometriae Dedicata 72 (1998), 179-187.
[1998b] Bemerkungen zur ersten nicht desarguesschen Geometrie bei Hilbert. Journal of Geometry 63 (1998), 183--195.