Commentarii Mathematici Helvetici

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Volume 88, Issue 4, 2013, pp. 789–811
DOI: 10.4171/CMH/303

Outer automorphisms of free Burnside groups

Rémi Coulon[1]

(1) Department of Mathematics, Vanderbilt University, Stevenson C enter 1326, TN 37240, Nashville, USA

In this paper, we study some properties of the outer automorphism group of free Burnside groups of large odd exponent. In particular, we prove that it contains free and free abelian subgroups.

Keywords: Geometric group theory, periodic groups, automorphism groups, hyperbolic geometry, small cancellation theory

Coulon Rémi: Outer automorphisms of free Burnside groups. Comment. Math. Helv. 88 (2013), 789-811. doi: 10.4171/CMH/303