Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4239
Title: Degrees of Self-Mappings of Seifert Manifolds with Finite Fundamental Groups
Authors: Hayat-Legrand, Claude
Kudryavtseva, Elena
Wang, Shicheng
Zieschang, Heiner
Issue Date: 2001
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source: C. Hayat-Legrand et al., "Degrees of Self-Mappings of Seifert Manifolds with Finite Fundamental Groups", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 131–147.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Abstract: We calculate all degrees of selfmaps f : M $\rightarrow$ M of a Seifert manifold M with fundamental group of fi{}nite order N, provided that f induces an automorphism of $\pi_{1}$(M). The answer is given in terms of N, namely, the possible degrees $degf$ form the set $\left\{ k^{2}+\ell N\mid gcd\left(k,N\right)=1,k,\ell,\epsilon\mathbb{Z}\right\} $
URI: http://hdl.handle.net/10077/4239
ISSN: 0049-4704
Appears in Collections:Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2001) s1

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