Composition of Transformations

E. S. Lyapin, A. Ya. Aizenshtat and M. M. Lesokhin

Chapter Chapter 3 in Exercises in Group Theory, 1972, pp 51-78 from Springer

Abstract: Abstract Let X be any set. A mapping of X into itself is called a transformation of X. Since a transformation is a special case of a mapping of sets, we will naturally retain the terminology and notation of Chapter 1.2, with one difference. By convention we will denote transformations by lower-case Greek letters, and elements of the set by lower-case Roman letters. In particular, if α maps x onto y, then y will be called the image of x under α, and we write αx = y or α(x) = y.

Keywords: Rational Number; Binary Relation; Symmetric Group; Regular Semigroup; Klein Group (search for similar items in EconPapers)
Date: 1972
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DOI: 10.1007/978-1-4613-4589-3_3

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