Reversible maps in the group of quaternionic Möbius transformations

Lávička, Roman; O'Farrell, Anthony G. and Short, Ian (2007). Reversible maps in the group of quaternionic Möbius transformations. Mathematical Proceedings of the Cambridge Philosophical Society, 143(1) pp. 57–69.

DOI: https://doi.org/10.1017/S030500410700028X

Abstract

The reversible elements of a group are those elements that are conjugate to their own inverse. A reversible element is said to be reversible by an involution if it is conjugate to its own inverse by an involution. In this paper, we classify the reversible elements and the elements reversible by involutions in the group of quaternionic Möbius transformations.

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