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This paper was completed while the author enjoyed the hospitality of the Mathematical Institute, University of Oxford, which he gratefully acknowledges.
The author is holder of a studentship at the University of Keele.
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Liebeck, H., MacHale, D. Groups with automorphisms inverting most elements. Math Z 124, 51–63 (1972). https://doi.org/10.1007/BF01142582
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DOI: https://doi.org/10.1007/BF01142582