Geometriae Dedicata

, Volume 6, Issue 3, pp 297–304 | Cite as

Decomposition of equiaffinities into reflections

  • Erich W. Ellers
Article

Keywords

Vector Space Linear Transformation Vector Space Versus Simple Transformation Commutative Field 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. 1.
    Coxeter, H.S.M., ‘Products of Shears in an Affine Pappian Plane’,Rend. Matematica (1) Vol. 3, Serie VI, 161–166 (1970).MATHMathSciNetGoogle Scholar
  2. 2.
    Dieudonné, J., ‘Sur les générateurs des groupes classiques’,Summa Bras. Math. 3, 149–178 (1955).Google Scholar
  3. 3.
    Ellers, E. W., ‘The Length Problem for the Equiaffine Group of a Pappian Geometry’,Rend. Matematica (2) Vol. 9, Serie VI, 327–336 (1976).MATHMathSciNetGoogle Scholar
  4. 4.
    Götzky, M., ‘Products of Reflections in an Affine Moufang Plane’,Can. J. Math. XXII (No. 3), 666–673 (1970).Google Scholar
  5. 5.
    O'Meara, O. T., ‘Group-Theoretic Characterization of Transvections using CDC’,Math. Z. 110, 385–394 (1969).MATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    O'Meara, O. T., ‘Lectures on Linear Groups’,CBMS Regional Conf. Series in Math., No. 22, 1974.Google Scholar
  7. 7.
    Veblen, O. and Young, J. W.,Projective Geometry, Vol. II, Blaisdell, New York, 1946.Google Scholar

Copyright information

© D. Reidel Publishing Company 1977

Authors and Affiliations

  • Erich W. Ellers
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

Personalised recommendations