Group Representations

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

Chapter Chapter 7 in Exercises in Group Theory, 1972, pp 145-160 from Springer

Abstract: Abstract Let M be a class of multiplicative sets (cf. Chapter 2.3), and let A be any multiplicative set. A homomorphism α of A into some set belonging to M is called a representation of A in the class M. The set α (A) is called the image of the representation. If M consists of one multiplicative set M, we say that α is a representation of A in M instead of saying “a representation of A in the class consisting of the one set M.” If α is an isomorphism, the representation is said to be faithful. A representation in a class of semigroups of transformations is called a representation by transformations (or by permutations).

Date: 1972
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DOI: 10.1007/978-1-4613-4589-3_7

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