Possible to have ConcurrentModificationException with multiple threads?

[V Pinto]

Hi!

Given the following code

class Th extends Thread{

	Set <String> hash = Collections.synchronizedSet(new HashSet<String>());
	
	{
		hash.add("1");
		hash.add("2");
		hash.add("3");
	}
	public t() {
		super();
	}

	public void run (){
		syncMethod();
	}


	private void syncMethod (){ 

		synchronized (hash) { //The t Thread itself gets the lock over hash!
			System.out.println(Thread.currentThread().getId() + " has lock over hash? " + Thread.holdsLock(hash));
			Iterator<String> it = hash.iterator();
			while (it.hasNext())
				System.out.println(it.next());
		}
		
	}

	public void remMethod (){	
			hash.remove("1");
			System.out.println(Thread.currentThread().getId() + " removed");
	}
}

Given that at any time an external thread can call remMethod() will I ever get a ConcurrentModificationException regarding the iterator it? I made the current thread to get the lock over the hash object when iterating so, in my understanding, even if an external thread tries to run remMethod() while iterating, wont be possible to get such an exception... I'm missing something?

Regards,RG