1: Is a group of permutations basically the same as a group of functions? As far as I know, they have the same properties: associativity, identity function, and inverses.(adsbygoogle = window.adsbygoogle || []).push({});

2: I don't understand how you convert cyclic groups into product of disjoint cycles.

A cyclic group (a b c d ... z) := a->b, b->c, c->d, d->e .... y->z, z->a

In the book, it shows that (0 3 6) o (2 7) o (4 8) o (0 4 7 2 6) o (1 8) = (0 8 1 4 2) o (3 6)

How do you get there?

thanks

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# Groups of permutations and cyclic groups

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