example for permutizer group

46 Views Asked by At

permutizer of a subgroup H of G is defined to be the subgroup generated by all cyclic subgroups of G that permute with H. You can help us give an example? enter image description here

1

There are 1 best solutions below

1
On

For an example where the permutizer is larger than the normalizer of the subgroup, you could take a subgroup of order $2$ in $S_3$, where the permutizer is the whole group.