The Irreducible Six-Dimensional Complex Representations of Aut(F2) That Are Nontrivial-on F2

DOI10.1080/10586458.2000.10504421zbMath0993.20006OpenAlexW2097780864MaRDI QIDQ4526088

Dragomir Ž. Djoković

Publication date: 1 May 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228276

zbMATH Keywords

inner automorphismsGröbner basesautomorphism groupsfaithful representationsirreducible finite dimensional representationsfree group on two generatorsbraid group on four strings

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05)

Uses Software

• Maple
• SINGULAR

Cites Work

• Unnamed Item
• On the linearity of automorphism groups of free groups
• The automorphism group of a free group is not linear
• A presentation for the image of Burau\((4)\otimes Z_2\)
• Low-dimensional representations of \(\text{Aut}(F_ 2)\)
• The Burau representation is not faithful for \(n=5\)
• The Burau representation is not faithful for \(n\geq 6\)
• The Structure of the Automorphism Group of a Free Group on Two Generators
• Low-dimensional linear representations of 𝐴𝑢𝑡𝐹_{𝑛},𝑛≥3
• Braid Group Representations of Low Degree
• THE COMPLEX INDECOMPOSABLE REPRESENTATIONS OF Aut(F₂) OF DEGREE LESS THAN SIX
• On Krammer's representation of the braid group.

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