Tohoku Mathematical Journal
2022
September
SECOND SERIES VOL. 74, NO. 3

Tohoku Math. J.
74 (2022), 389-398

Title TORSION GENERATORS OF THE TWIST SUBGROUP

Author Tülin Altunöz, Mehmetcik Pamuk and Oğuz Yıldız

(Received October 15, 2020, revised March 23, 2021)
Abstract. We show that the twist subgroup of the mapping class group of a closed connected nonorientable surface of genus $g\geq13$ can be generated by two involutions and an element of order $g$ or $g-1$ depending on whether $g$ is odd or even respectively.

Mathematics Subject Classification. Primary 57N05; Secondary 20F38, 20F05.
Key words and phrases. Mapping class groups, nonorientable surfaces, twist subgroup, torsion, generating sets.

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