Tetsuya Ito

activity

20082023

most citedOpen Book Foliations

23 citations · 257 across the 67 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.GT2023

Dehn filling and the knot group I: Realization Property

Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito

Each $r$ -Dehn filling of the exterior $E (K)$ of a knot $K$ in $S^{3}$ produces a $3$ -manifold $K (r)$ , and induces an epimorphism from the knot group $G (K) = π_{1} (E (K))$ to $π_{1} (K (r))$ …

math.GR2023★ 2 cited

On a group whose generalized torsion elements are torsion elements

Tetsuya Ito

We show that a group whose generalized torsion elements are torsion elements (which we call a $T R^{*}$ -group) is torsion-by- $R^{*}$ group, an extension of torsion group by a group…

math.GT2023

Special alternating knots with sufficiently many twist regions have no chirally cosmetic surgeries

Tetsuya Ito

We show that a special alternating knot with sufficiently large number (more than $63$ ) of twist regions has no chirally cosmetic surgeries, a pair of Dehn surgeries producing orie…