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ArticleOriginal scientific text

Title

Free groups acting without fixed points on rational spheres

Authors 1

Affiliations

  1. Department of Mathematics, Faculty of Engineering, Yokohama National University, Hodogaya, Yokohama 240, Japan

Abstract

For every positive rational number q, we find a free group of rotations of rank 2 acting on (√q²) ∩ ℚ³ whose all elements distinct from the identity have no fixed point.

Bibliography

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  3. [L] T. Y. Lam, Algebraic Theory of Quadratic Forms, W. A. Benjamin Inc., Massachusetts, 1973.
  4. [M] L. J. Mordell, Diophantine Equations, Academic Press, New York, 1969.
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  6. [Sa1] K. Satô, A free group acting without fixed points on the rational unit sphere, Fund. Math. 148 (1995), 63-69.
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Acta Arithmetica
1998/85/2
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Pages:
135-140
Main language of publication
English
Received
1997-01-21
Accepted
1998-01-29
Published
1998
Exact and natural sciences