Abstract. We complete the classification of all orientation-reversing PL maps of period 4k (k > 1) on lens spaces. All Z4-actions on the projective 3-space are also classified.1. Introduction. The 3-sphere and the projective 3-space are the only 3-dimensional lens spaces Lip, q) which admit orientation-reversing PL maps of period « > 4 [4]. In [4] all orientation-reversing PL maps of period 4k on the 3-sphere S3 are classified for all k. In this paper we show:
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