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ON THE FAITHFULNESS OF THE EXTENSION OF LAWRENCE-KRAMMER REPRESENTATION OF THE GROUP OF CONJUGATING AUTOMORPHISMS $C_3$

Abstract

Let Cn be the group of conjugating automorphisms. We study the representation _ of Cn, an extension of Lawrence-Krammer representation of the braid group Bn. it is known that the representation _ is unfaithful for n _ 5, the cases n = 3; 4 remain open. In our work, we make attempts towards the faithfulness of _ in the case n = 3.

Author(s)

M. Nasser

Coauthor(s)

Mohammad Abdulrahim

Journal/Conference Information

J. Indian Math. Soc. (N.S.) 90 (2023), no. 3-4, 309—318.,