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2002 Groups generated by positive multi-twists and the fake lantern problem
Hessam Hamidi-Tehrani
Algebr. Geom. Topol. 2(2): 1155-1178 (2002). DOI: 10.2140/agt.2002.2.1155

Abstract

Let Γ be a group generated by two positive multi-twists. We give some sufficient conditions for Γ to be free or have no “unexpectedly reducible” elements. For a group Γ generated by two Dehn twists, we classify the elements in Γ which are multi-twists. As a consequence we are able to list all the lantern-like relations in the mapping class groups. We classify groups generated by powers of two Dehn twists which are free, or have no “unexpectedly reducible” elements. In the end we pose similar problems for groups generated by powers of n3 twists and give a partial result.

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Hessam Hamidi-Tehrani. "Groups generated by positive multi-twists and the fake lantern problem." Algebr. Geom. Topol. 2 (2) 1155 - 1178, 2002. https://doi.org/10.2140/agt.2002.2.1155

Information

Received: 12 June 2002; Revised: 8 November 2002; Accepted: 17 December 2002; Published: 2002
First available in Project Euclid: 21 December 2017

zbMATH: 1023.57001
MathSciNet: MR1943336
Digital Object Identifier: 10.2140/agt.2002.2.1155

Subjects:
Primary: 57M07
Secondary: 20F38, 57N05

Rights: Copyright © 2002 Mathematical Sciences Publishers

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