Publications

• Preprints

  1. The universal representation of the 3-local parabolic geometry for M(24) and for the Monster
     (with A.A. Ivanov, D.V. Pasechnik).
  2. The Birkhoff Polytope (with C. Haase, B. Nill, A. Paffenholz), Sept. 2007, 30 pages.

• In Preparation

  4. A characterization of L₂(3^r) and U₃(2^r).
  5. Flag-transitive affine dual polar spaces of O_2n+1(q)-type, (with S.V. Shpectorov, G. Stroth).
  6. The big Book of small Modules (with U. Meierfrankenfeld, G. Stroth)
  7. Permutation Polytopes related to a cyclic or dihedral group (with C. Haase, B. Nill, A. Paffenholz).
  8. Transitive permutation groups admitting a transversal which is a conjugacy class (with G. Kaplan),
     Jan. 2008, 13 pages.
  9. The finite Bol loops of exponent 2 (with A. Stein, G. Stroth), Dec. 2008, 75 pages.
  10. The finite Bruck loops of exponent 2 (with A. Stein, G. Stroth), Jan. 2010, 26 pages.
  11. Commuting graphs of odd prime order elements in simple groups (with A. Stein), Dec. 2009, 21 pages, (submitted).
  12. The finite Bruck loops (with A. Stein), Aug. 2009, 21 pages (submitted).
  13. C-sections and solvability of finite groups (with G. Kaplan), Jan. 2010, 14 pages, (submitted).
  14. Finite Zassenhaus Moufang sets with root groups of even order (with M. Grueninger), Feb. 2010, 25 pages.

• Erschienene/ angenommene Artikel

  14. Self-invariant 1-Factorizations of complete graphs and finite Bol Loops of Exponent 2
      (with A. Stein), 16 pages (to appear).
  15. On Permutation Polytopes, Advances in Mathematics 222, No. 2 (2009), 431 -- 452.
  16. A method of Bender applied to groups of J₃-type, Journal of Group Theory 11 No. 6 (2008), 779 -- 797.
  17. Constraint Satisfaction Problems, Twisted Subgroups and Transversals, accepted at the
      International Symmetry Conference, Edinburgh 2007.
  18. A geometry for groups of J₃-type, Archiv der Mathematik, 88 Nr. 6 (2007), 491 - 499.
  19. Regular subgroups of primitive permutation groups, J. Algebra 310 (2007), 569 - 618.
  20. Regular subgroups of primitive permutation groups of unitary type, Bull. Belg. Math. Soc 12 (2005), 1 - 17.
  21. On groups with subgroups of prime power index, J. London Math. Soc. (2) 62 (2000), 407 - 422.
  22. A characterization of the Petersen-type geometry of the McLaughlin group, Math. Proc. Camb. Phil. Soc. (2000),
      128, 21 - 44 (with A.A. Ivanov, D.V. Pasechnik).
  23. On flag-transitive c.c* geometries admitting a duality, Bull. Belg. Math. Soc. 6 (1999), 443 - 454.
  24. A characterization of the finite soluble groups, Archiv der Mathematik 72 (1999), 167 - 176.
  25. Erratum: On C₂.L-geometries, Geom. Dedic. 75, No. 2 (1999), 217 (with A. Pasini).
  26. On the classification of flag-transitive c.c*-geometries, Geom. Dedic. 75, No. 1 (1999),
      1 - 18 (with F. Buekenhout).
  27. The non-canonical gluings of two affine spaces, in: Trends in Mathematics, A. Pasini ed., pp. 9 - 28 (1998)
      (with G. Stroth).
  28. On C₂.L-geometries, Geom. Dedic. 71 (1998), 33 - 59 (with A. Pasini).
  29. Factorizations of primitive permutation groups, J. Algebra 194 (1997), 631 - 653.
  30. A computer free construction of the third group of Janko, J. Algebra, 192 (1997), 780 - 809.
  31. The universal covers of certain semibiplanes Europ. J. Combin., 18 (1997), 491 - 496 (with D.V. Pasechnik).
  32. On flat flag-transitive c.c*-geometries, J. Algebraic Combin. 6 (1997), 5 - 26 (with A. Pasini).
  33. GF(2)-expansions, Geom. Dedic. 67 (1997), 163 - 1997 (with T. Meixner, A. Pasini).
  34. The universal covers of the sporadic semibiplanes, Europ. J. Combin. 17 (1996), 595 - 604 (with D.V. Pasechnik).
  35. Flag-transitive c.Af*-geometries, Contributions to Algebra and Geom. 37 (1996), 231 - 258
      (with A. Del Fra, T. Meixner, A. Pasini).
  36. Two new sporadic semibiplanes related to M₂₂, Europ. J. of Combin. 15 (1994), 325 - 336.
  37. On flag-transitive c.c*-geometries, in Groups, difference sets, and the Monster, Proceedings of the
      Ohio State Conference (May 1993), K.T. Arasu et al., 3 - 23.

• Manuskript

  36. A characterization of the third group of Janko, (Großteil meiner Doktorarbeit).

• Schriften

  1. Factorizations of groups and Permutation groups, Habilitation thesis, MLU Halle, 2004
  2. Dual extended quadrangles - a characterization of the third group of Janko, PhD-thesis, FU Berlin 1996