Abstract
The identity transformation i is defined by i(P) = P for every point P. No other transformation is allowed to use this Greek letter iota. As you can see, i is in some sense actually the least exciting of all the transformations. If I is in set G of transformations, then G is said to have the identity property. We continue below to look at properties of a set G of transformations that make G algebraically interesting.
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© 1982 Springer-Verlag New York Inc.
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Martin, G.E. (1982). Properties of Transformations. In: Transformation Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5680-9_2
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DOI: https://doi.org/10.1007/978-1-4612-5680-9_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-5682-3
Online ISBN: 978-1-4612-5680-9
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