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Reversible maps in the group of quaternionic Möbius transformations

Lávička, Roman and 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. ISSN 1469-8064

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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

Keywords:Quaternionic Möbius transformations; Reversible maps; Parabolic transformations.
Subjects:Science & Engineering > Mathematics
ID Code:1807
Deposited By:Prof. Anthony O'Farrell
Deposited On:25 Jan 2010 16:11
Journal or Publication Title:Mathematical Proceedings of the Cambridge Philosophical Society
Publisher:Cambridge University Press
Refereed:Yes
URL:http://journals.cambridge.org/action/displayJournal?jid=PSP

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