Exercise
Consider the set B = < a, b> where a = (1,2)(3,4)(5,6,7)(8,9) and b = (1,3)(2,4,5)(8,9,10). How many vertices does the Schreier tree for B with root 1 have?
4
5
6
7
8
9
10
No. Recall that the vertex set is the orbit of 1 under <B>.
No. How many elements are there in the orbit of 1 under <B>?
No. Have another look at the orbit of 1 under <B>.
Yes, {1,2,3,4,5,6,7} is the orbit of 1.
No. For instance 8, 9, 10 form a separate orbit.
No. Determine <B>1, the orbit of 1 under <B>.
No. For instance 1 and 10 are in different orbits.