groups_group_create_complete()

Quick Note on group creation,

When a group first gets created it fires multiple actions some times multiple times.

For example, groups_create_group and groups_created_group fire first on the initial details page, and AGAIN when the group is actually created.

To bind to when the group is ACTUALLY created use groups_group_create_complete.

so:

add_action( 'groups_group_create_complete', 'my_function' );