Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Błażej Szepietowski"'
Autor:
Marta Leśniak, Błażej Szepietowski
We prove that the mapping class group $\mathcal{M}(N_g)$ of a closed nonorientable surface of genus $g$ different than 4 is generated by three torsion elements. Moreover, for every even integer $k\ge 12$ and $g$ of the form $g=pk+2q(k-1)$ or $g=pk+2q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d320ced7e961d40e5da0d1d28a3e9e19
http://arxiv.org/abs/2007.01640
http://arxiv.org/abs/2007.01640
Autor:
Marta Leśniak, Błażej Szepietowski
Publikováno v:
Topology and its Applications. 229:20-26
A crosscap transposition is an element of the mapping class group of a nonorientable surface represented by a homeomorphism supported on a one-holed Klein bottle and swapping two crosscaps. We prove that the mapping class group of a compact nonorient
Publikováno v:
Journal of Pure and Applied Algebra. 220:465-481
At the end of 19 century, A. Wiman proved that the order of any orientation-preserving periodic self-homeomorphism of a closed orientable surface of genus g>1 does not exceed 4g+2. Later in the 1960s, W. Harvey showed that this maximum possible order
Publikováno v:
Glasgow Mathematical Journal. 57:211-230
This paper is devoted to determine the connectedness of the branch loci of the moduli space of non-orientable unbordered Klein surfaces. We obtain a result similar to Nielsen's in order to determine topological conjugacy of automorphisms of prime ord
Autor:
Błażej Szepietowski
Publikováno v:
Glasnik matematički
Volume 49
Issue 2
Volume 49
Issue 2
Let $M(N_{h,n})$ denote the mapping class group of a compact nonorientable surface of genus $h\ge 7$ and $n\le 1$ boundary components, and let $T(N_{h,n})$ be the subgroup of $M(N_{h,n})$ generated by all Dehn twists. It is known that $T(N_{h,n})$ is
In Hirose (Tohoku Math. J. 62 (2010), 45–53), Susumu Hirose showed that, except for a few cases, the order $N$ of a cyclic group of self-homeomorphisms of a closed orientable topological surface $S_{g}$ of genus $g\geqslant 2$ determines the group
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50fde37ef44c1bdae1ea61ce31ac1cdf
Autor:
Błażej Szepietowski
Publikováno v:
Algebr. Geom. Topol. 14, no. 4 (2014), 2445-2474
Suppose that $f$ is a homomorphism from the mapping class group $\mathcal{M}(N_{g,n})$ of a nonorientable surface of genus $g$ with $n$ boundary components, to $\mathrm{GL}(m,\mathbb{C})$. We prove that if $g\ge 5$, $n\le 1$ and $m\le g-2$, then $f$
Autor:
Błażej Szepietowski
Publikováno v:
Volume: 38, Issue: 3 524-534
Turkish Journal of Mathematics
Turkish Journal of Mathematics
We prove that in the pure mapping class group of the 3-punctured projective plane equipped with the word metric induced by certain generating set, the ratio of the number of pseudo-Anosov elements to the number of all elements in a ball centered at t
Autor:
Błażej Szepietowski
Publikováno v:
Comptes Rendus Mathematique. 348:923-926
We show that on a nonorientable surface of genus at least 7 any power of a Dehn twist is equal to a single commutator in the mapping class group and the same is true, under additional assumptions, for the twist subgroup, and also for the extended map
Publikováno v:
Revista DE la Real Academia DE Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Let \(S_g\) denote a closed non-orientable surface of genus \(g\ge 3\). At the beginning of 1980s E. Bujalance showed that the maximum order of a periodic self-homeomorphism of \(S_g\) is equal to 2g or \(2(g-1)\) for g odd or even respectively, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6746882434ed8307563bee45375514c
http://www.mpim-bonn.mpg.de/preblob/5514
http://www.mpim-bonn.mpg.de/preblob/5514