- #1
yaganon
- 17
- 0
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.
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
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