PUBLICATIONS PUBLICATIONS

  1. Hermitian presentations of Chevalley groups II. (with M. P. De Oliveira) J. Algebra accepted
  2. The Coxeter Legacy: Reflections and Projections - Chandler Davis and Erich W. Ellers, Editors - American Mathematical Society and Fields Institute for Research in Mathematical Sciences; Providence, RI, and Toronto, Ontario; March 2006
  3. Siegel transformations for even characteristic. (with O. Villa) Linear Algebra Appl. 395C (2005) 163--174
  4. Hermitian presentations of Chevalley groups I. (with M. P. De Oliveira) J. Algebra 276 (1) (2004) 371--382
  5. Conjugacy classes of involutions in the Lorentz group Omega(V) and in SO(V). Linear Algebra Appl. 383C (2004) 77--83
  6. The special orthogonal group is trireflectional. (with O. Villa) Arch.Math. 82 (2) (2004) 122--127
  7. Intersection of conjugacy classes with Bruhat cells in Chevalley groups. (with N. Gordeev) Pacific J. Math. 214 (2) (2004) 245--261
  8. Harold Scott MacDonald Coxeter 1907--2003. Proc. Royal Society of Canada , Seventh Series, Volume II (2003) 60--63
  9. H. S. M. Coxeter (1907--2003). AMS Notices 50 10 (2003) 1234--1236; --- translated into the Portuguese by Jos'e Cloves Verde Saraiva: Uma Ge^ometra da Nossa 'Epoca --- H. S. M. Coxeter (1907--2003) in No Mundo Novo das Curvas Planas --- Uma Experi^encia Elementar by Jos'e Cloves Verde Saraiva. S~ao Lu'is: Fort Com.Gr'afica e Editora. 2004, 8--11
  10. Coxetergruppen - ein Beispiel. MNU 56 7 (2003) 436--437
  11. Professor H. S. M. Coxeter (Obituary). The Independent No. 5,145; p.18. London, England, 15 April 2003.
  12. Products of involutions in the finite Chevalley groups of type F4(K). (with P.C.Austin) Comm. Algebra 30 8 (2002) 4019-4029.
  13. Products of transvections in one conjugacy class of the symplectic group over the p-adic numbers. (with Huberta Lausch) Linear Algebra Appl. 327 (2001) 151-180.
  14. Products of involutions in simple Chevalley groups. J. Geometry 69 (2000) 68-72.
  15. Gauss decomposition with prescribed semisimple part: short proof. (with V. Chernousov and N. Gordeev) J. Algebra 229 (2000) 314-332.
  16. Intersection of conjugacy classes of Chevalley groups with Gauss cells. (with N. Gordeev) J. Algebra 220 (1999) 591-611.
  17. Bireflectionality of orthogonal and symplectic groups of characteristic 2. Arch. Math. (Basel ) 73 (1999) 414-418.
  18. Covering numbers for Chevalley groups. (with N. Gordeev and M. Herzog) Israel J. Math. 111 (1999) 339-372.
  19. A generalization of Sourour's theorem. (with N. Gordeev) Linear Algebra Appl. 286 (1999) 187-196.
  20. On the conjectures of J. Thompson and O. Ore. (with N. Gordeev) Trans. Amer. Math. Soc. 350 9 (1998) 3657-3671.
  21. Groups satisfying Scherk's length theorem. (with W. Nolte) J. Geometry 61 (1998) 39-45.
  22. Gauss decomposition with prescribed semisimple part in Chevalley groups III: Finite twisted groups. (with N. Gordeev) Comm. Algebra 24 14 (1996) 4447-4475.
  23. A characterization of subgroups of the orthogonal group. (with W. Nolte) J. Geometry 56 (1996) 34-44.
  24. Gauss decomposition with prescribed semisimple part in Chevalley groups II: Exceptional cases. (with N. Gordeev) Comm. Algebra 23 8 (1995) 3085-3098.
  25. Products of reflections in one conjugacy class in the orthogonal group over GF(3). Linear and Multilinear Algebra 39 3 (1995) 209-230.
  26. Gauss decomposition with prescribed semisimple part in classical Chevalley groups. (with N. Gordeev) Comm. Algebra 22 14 (1994) 5935-5950.
  27. Products of transvections in one conjugacy class in the symplectic group over GF(3). Linear Algebra Appl. 202 (1994) 1-24.
  28. The reflection length of a transformation in the unitary group over a finite field. Linear and Multilinear Algebra 35 1 (1993) 11-36.
  29. The length problem for the special unitary group generated by positive transvections. (with J. Malzan) J. Univ. Kuwait (Science ) 20 (1993) 1-24.
  30. Bireflectionality of the orthogonal group over a valuation domain. (with H. Ishibashi) J. Algebra 149 2 (1992) 322-325.
  31. Products of positive transvections in the real symplectic group. (with J. Malzan) Comm. Algebra 19 4 (1991) 1033-1058.
  32. Generators and Relations in Groups and Geometries (Proceedings). (editor together with A. Barlotti, P. Plaumann, K. Strambach) NATO ASI Series C, Vol. 333, Kluwer Academic Publ., Dordrecht, The Netherlands 1991.
  33. Classical Groups. Generators and Relations in Groups and Geometries (Proceedings), NATO ASI Series C, Vol. 333, Kluwer Academic Publ., Dordrecht, The Netherlands (1991) 1-45.
  34. Products of l-transvections in Sp(2n,q). (with J. Malzan) Linear Algebra Appl. 146 (1991) 121-132.
  35. Products of reflections in the kernel of the spinorial norm. (with J. Malzan) Geom. Dedicata 36 (1990) 279-285.
  36. Generators for classical groups of modules over local rings. (with Huberta Lausch) J. Geometry 39 (1990) 60-79.
  37. Automorphisms of split Cayley algebras over real closed fields. (with Huberta Lausch) Geom. Dedicata 32 (1989) 25-29.
  38. Solving the length problem for the special linear group over the quaternions. (with J. Malzan) Algebras, Groups and Geometries 6 2 (1989) 135-152.
  39. Transvections as generators of the special linear group over the quaternions. (with J. Malzan) J. Pure Appl. Algebra 57 (1989) 25-31.
  40. Length theorems for the general linear group of a module over a local ring. (with Huberta Lausch) J. Austral. Math. Soc. Ser. A 46 (1989) 122-131.
  41. Products of quasireflections and transvections over local rings. (with R. Frank) J. Geometry 31 (1988) 69-78.
  42. Products of reflections in GL(n,H). (with J. Malzan) Linear and Multilinear Algebra 20 (1987) 281-324.
  43. Factorization of transformations over a local ring. (with H. Ishibashi) Linear Algebra Appl. 85 (1987) 17-27.
  44. Products of half-turns. J. Algebra 99 (1986) 275-294.
  45. Products of elations and harmonic homologies. Canad. Math. Bull. 28 (1985) 397-400.
  46. A homogeneous description of inhomogeneous Minkowski groups. (with H. Hähl) Geom. Dedicata 17 (1984) 79-85.
  47. The Minkowski group. Geom. Dedicata 15 (1984) 363-375.
  48. Bireflectionality of the weak orthogonal and the weak symplectic groups. (with R. Frank and W. Nolte) J. Algebra 88 (1984) 63-67.
  49. Cyclic decomposition of unitary spaces. J. Geometry 21 2 (1983) 101-107.
  50. The length problem in classical groups (Abstract). Conference on Geometry, March 1983, Haifa University, Israel. J. Geometry 21 (1983) 4.
  51. Factorization of isometries in O+ into half-turns. C. R. Math. Rep. Acad. Sci. Canada 5 5 (1983) 229-232.
  52. Bireflectionality. Ann. Discrete Math. 18 (1983) 333-334.
  53. Projective collineations as products of homologies, elations, and projective reflections. Aequationes Math. 25 (1982) 103-114. Short communication: Aequationes Math. 25 (1982) 116-117.
  54. Relations in the projective general linear group and in the affine subgroup. J. Algebra 77 (1982) 333-337.
  55. Bireflectionality of orthogonal and symplectic groups. (with W. Nolte) Arch. Math. (Basel ) 39 (1982) 113-118.
  56. Skew affinities. Geom. Dedicata 12 (1982) 17-24.
  57. Products of axial affinities and products of central collineations. The Geometric Vein, Springer-Verlag, New York 1982, 465-470.
  58. Radical relations in orthogonal groups. (with W. Nolte) Linear Algebra Appl. 38 (1981) 135-139.
  59. Relations in hyperreflection groups. Proc. Amer. Math. Soc. 81 167-171.
  60. Defining relations for the equiaffine group. Geom. Dedicata 10 (1981) 177-182.
  61. Generators and relations for classical groups. Geometry and Differential Geometry, Haifa, Israel 1979 (Proceedings). Lecture Notes in Math. 792, Springer-Verlag, Berlin-Heidelberg-New York 1980, 40-45.
  62. Perpendicularities and semisimilarities. C. R. Math. Rep. Acad. Sci. Canada 1 6 (1979) 287-291.
  63. Products of two involutory matrices over skewfields. Linear Algebra Appl. 26 (1979) 59-63.
  64. Factorization of affinities. Canad. J. Math. 31 2 (1979) 354-362.
  65. Radical relations in unitary, symplectic, and orthogonal groups. J. Reine Angew. Math. 306 (1979) 1-6.
  66. Relations in classical groups. J. Algebra 51 1 (1978) 19-24.
  67. Decomposition of equiaffinities into reflections. Geom. Dedicata 6 3 (1977).
  68. Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries. Abh. Math. Sem. Univ. Hamburg 46 (1977) 97-127.
  69. Bireflectionality in classical groups. Canad. J. Math. 29 6 (1977) 1157-1162.
  70. The length problem for the equiaffine group of a Pappian geometry. Rend. Mat. (6) 2 Vol. 9 (1976) 327-336.
  71. The length of a unitary transformation for characteristic 2. J. Reine Angew. Math. 281 (1976) 6-12.
  72. The length of a unitary transformation. J. Reine Angew. Math. 281 (1976) 1-5.
  73. Il problema della lunghezza nel gruppe delle equiaffinità. Lecture Notes on Classical Groups (in Italian), Istituto di Geometria, Università di Bologna 1975.
  74. Generators of the unitary groups of characteristic 2. J. Reine Angew. Math. 276 (1975) 95-98.
  75. The classical Euclidean and the classical hyperbolic geometry. (with H. Karzel) Fundamentals of Mathematics, Vol. II: Geometry. MIT Press, Cambridge, Mass. (1974) 174-197; English translation of 65.
  76. Zur Geschichte der Erzeugung von Bewegungsgruppen. (with R. L. Patton) Mitt. Math. Gesellschaft Hamburg 10 2 (1973) 109-223.
  77. Hyperfree extensions. (with D. H. Row) Abh. Math. Sem. Univ. Hamburg 37 (1972) 46-49.
  78. Die klassische eukilidische und hyperbolische Geometrie. (with H. Karzel) Grundzüge der Mathematik, Band 2: Geometrie, 2. Auflage. Vandenhoeck und Ruprecht, Göttingen (1971) 187-213; 2nd edition.
  79. Hyperfreier projektiver Ebenenabschluß. Geometriekolloquium 1971, Technische Universität München, Institut für Geometrie, Bericht Nr. 7112 (1971) 5-8.
  80. Involutory incidence spaces. (with H. Karzel) J. Geometry 1.2 (1971) 117-126.
  81. Koprodukte von Bewegungsgruppen. Abh. Math. Sem. Univ. Hamburg 34 (1969) 1-10.
  82. Eine Bemerkung über zweiseitige Inzidenzgruppen. Abh. Math. Sem. Univ. Hamburg 33 (1969) 1-3.
  83. Kommutative Inzidenzgruppen vom Exponenten n. Abh. Math. Sem. Univ. Hamburg 31 (1967) 247-252.
  84. Die klassische euklidische und hyperbolische Geometrie. (with H. Karzel) Grundzüge der Mathematik, Band 2: Geometrie. Vandenhoeck und Ruprecht, Göttingen (1967) 187-213.
  85. Incidence groups of exponent n. Proceedings of the Projective Geometry Conference 1967, University of Illinois at Chicago Circle (1967) 29-32.
  86. Endliche Inzidenzgruppen. (with H. Karzel) Abh. Math. Sem. Univ. Hamburg 27 (1964) 250-264.
  87. Kennzeichnung elliptischer Gruppenräume. (with H. Karzel) Abh. Math. Sem. Univ. Hamburg 26 (1963) 55-77.
  88. Einbettung eines Desarguesschen Ebenenkeimes in eine projektive Ebene. (with E. Sperner) Abh. Math. Sem. Univ. Hamburg 25 (1962) 206-230.
  89. Involutorische Geometrien. (with H. Karzel) Abh. Math. Sem. Univ. Hamburg 25 (1961) 93-104.
  90. Eine Einführung in die Analysis mittels des Filterbegriffs. (with J. Dzewas and O. Hahn) Der Math. und Naturw. Unterricht 12 (1961) 433-448.
  91. Einbettung einer gruppentheoretisch-absoluten Ebene in eine projektive. Ph. D. thesis, Universität Hamburg 1959.
  92. Die Bedeutung des Dreispiegelungssatzes in Gruppen, die durch die Erzeugenden ai und die definierenden Relationen ai2 = 1 bestimmt sind. Master's Thesis, Universität Hamburg 1956.

Updated April 2006

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