Mathematik-Online problems: Problem 453: Permutations of a Set

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	Mathematik-Online problems:
	Problem 453: Permutations of a Set

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Let $d=(1\; 2\; 3\; 4)$ and $s=(2\; 4)$ be permutations of the set $\{1,2,3,4\}$ .

a): Interpret and as mappings of a square onto itself. What kind of mappings are and ?
b): Is $d \circ s = s \circ d$ ?
c): Find all mappings that can be written as compositions of 's und 's. What kind of mappings are these?
d): Does c) includes every permutation of $\{1,2,3,4\}$ ?

(Authors: Höllig/Höfert)

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automatisch erstellt am 12. 3. 2018