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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Compact flat manifolds with holonomy group $\mathbf {Z}_2 \oplus \mathbf {Z}_2$
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by J. P. Rossetti and P. A. Tirao
Proc. Amer. Math. Soc. 124 (1996), 2491-2499
DOI: https://doi.org/10.1090/S0002-9939-96-03633-7

Abstract:

In this paper we construct a family of compact flat manifolds, for all dimensions $n\ge 3$, with holonomy group isomorphic to $\mathbf {Z}_2^2$ and first Betti number zero.
References
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Bibliographic Information
  • J. P. Rossetti
  • Affiliation: FAMAF, Universidad Nacional de Córdoba, Argentina
  • P. A. Tirao
  • Affiliation: FAMAF Universidad Nacional de Córdoba, Argentina
  • Received by editor(s): November 29, 1994
  • Additional Notes: Supported in part by FaMAF and CONICOR
  • Communicated by: Christopher Croke
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 2491-2499
  • MSC (1991): Primary 53C20; Secondary 20H15
  • DOI: https://doi.org/10.1090/S0002-9939-96-03633-7
  • MathSciNet review: 1353397