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- Ferihe Atalan
- IJAC
- 2009

Let Ng be the connected closed nonorientable surface of genus g >= 5 and Mod(Ng) denote the mapping class group of Ng. We prove that the outer automorphism group of Mod(Ng) is either trivial or Z if… (More)

For a compact connected nonorientable surface N of genus g with n boundary components, we prove that the natural map from the mapping class group of N to the automorphism group of the curve complex… (More)

Let S be a nonorientable surface of genus $$g\ge 5$$g≥5 with $$n\ge 0$$n≥0 punctures, and $$\mathrm {Mod}(S)$$Mod(S) its mapping class group. We define the complexity of S to be the maximum rank of a… (More)

We investigate the eigenvalues and eigenvectors of a special quadratic matrix polynomial and use the results obtained to solve the initial value problem for the corresponding linear system of… (More)

- Ferihe Atalan
- 2015

Let $N_g^k$ be a nonorientable surface of genus \ $g\geq 5$ \ with \ $k$-punctures. In this note, we will give an algebraic characterization of a Dehn twist about a simple closed curve on $N_g^k$.… (More)

We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certain generating set.… (More)