22 citations · 134 across the 20 of their papers we have counts for
21 papers
The pants graph as a combinatorial model for the Teichmüller space of a non-orientable surface
Michał Stukow, Błażej Szepietowski, Jakub Szmelter-Tomczuk
We study the relation between the pants graph of a non-orientable surface and that of its orientable double cover. Given a non-orientable surface with orientable double cover $…
Automorphisms of the pants graph of a nonorientable surface
Michał Stukow, Błażej Szepietowski
We prove that, except in certain low-complexity cases, the automorphism group of the graph of pants decompositions of a nonorientable surface is isomorphic to the mapping class gro…
Geometric representations of the braid group on a nonorientable surface
Michał Stukow, Błażej Szepietowski
We classify homomorphisms from the braid group on strands to the pure mapping class group of a nonoriantable surface of genus . For and $g\le 2\lfloor{n/2}\rfloor+…
The first homology group with twisted coefficients for the mapping class group of a non-orientable surface with boundary
Piotr Pawlak, Michał Stukow
We determine the first homology group with coefficients in for various mapping class groups of a non--orientable surface with punctures and/or boundary.
The first homology group with twisted coefficients for the mapping class group of a non-orientable surface of genus three with two boundary components
Piotr Pawlak, Michał Stukow
We determine the first homology group with coefficients in for the mapping class group of a non-orientable surface of genus three with two boundary componen…
Roots of Dehn twists on nonorientable surfaces
Anna Parlak, Michal Stukow
Margalit and Schleimer observed that Dehn twists on orientable surfaces have nontrivial roots. We investigate the problem of roots of a Dehn twist t_c about a nonseparating circle…
The hyperelliptic mapping class group of a nonorientable surface of genus has a faithful representation into
Michał Stukow
We prove that the hyperelliptic mapping class group of a nonorientable surface of genus has a faithful linear representation of dimension over .
Subgroups of the Torelli group generated by two symmetric bounding pair maps
Michał Stukow
Let {a,b} and {c,d} be two pairs of bounding simple closed curves on an oriented surface which intersect nontrivialy. We prove that if these pairs are invariant under the action of…
Roots of crosscap slides and crosscap transpositions
Anna Parlak, Michał Stukow
Let denote a closed nonorientable surface of genus . For the mapping class group is generated by Dehn twists and one crosscap slide (-…
The first homology group of the mapping class group of a nonorientable surface with twisted coefficients
Michał Stukow
We determine the first homology group of the mapping class group M(N) of a nonorientable surface N with coefficients in H_1(N;Z).
A finite presentation for the hyperelliptic mapping class group of a nonorientable surface
Michal Stukow
We obtain a simple presentation of the hyperelliptic mapping class group of a nonorientable surface N. As an application we compute the first homology group of wi…
Subgroups generated by two Dehn twists on a nonorientable surface
Michal Stukow
Let a and b be two simple closed curves on an orientable surface S such that their geometric intersection number is greater than 1. It is known that the group generated by correspo…
A finite presentation for the twist subgroup of the mapping class group of a nonorientable surface
Michal Stukow
Let denote the nonorientable surface of genus g with s boundary components. Recently Paris and Szepietowski obtained an explicit finite presentation for the mapping class…
A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators
Michal Stukow
Let N_{g,s} denote the nonorientable surface of genus g with s boundary components. Recently Paris and Szepietowski obtained an explicit finite presentation for the mapping class g…
The twist subgroup of the mapping class group of a nonorientable surface
Michal Stukow
Let T(N) be the subgroup of the mapping class group of a nonorientable surface N (possibly with punctures and/or boundary components) generated by twists about two-sided circles. W…
Generating mapping class groups of nonorientable surfaces with boundary
Michal Stukow
We obtain simple generating sets for various mapping class groups of a nonorientable surface with punctures and/or boundary. We also compute the abelianizations of these mapping cl…
Commensurability of geometric subgroups of mapping class groups
Michal Stukow
Let M be a surface (possibly nonorientable) with punctures and/or boundary components. The paper is a study of ``geometric subgroups'' of the mapping class group of M, that is subg…
Dehn twists on nonorientable surfaces
Michal Stukow
Let t_a be the Dehn twist about a circle a on an orientable surface. It is well known that for each circle b and an integer n, I(t_a^n(b),b)=|n|I(a,b)^2, where I(,) is the geometri…
Small torsion generating sets for hyperelliptic mapping class groups
Michal Stukow
We prove that both the hyperelliptic mapping class group and the extended hyperelliptic mapping class group are generated by two torsion elements. We also compute the index of the…
Conjugacy classes of finite subgroups of certain mapping class groups
Michal Stukow
We give a complete description of conjugacy classes of finite subgroups of the mapping class group of the sphere with r marked points. As a corollary we obtain a description of con…
The extended mapping class group is generated by three symmetries
Michal Stukow
We prove that the extended mapping class group is generated by three orientation reversing involutions.