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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Groups of permutations and cyclic groups

**Physics Forums | Science Articles, Homework Help, Discussion**