Would someone show me the method to find an element of maximal order in ? Is there a general technique for this?
I think that this element could have order 12=3 4 since I can find a (4,3) cycle element in like (1234)(567) which has order 12.
Would someone show me the method to find an element of maximal order in ? Is there a general technique for this?
I think that this element could have order 12=3 4 since I can find a (4,3) cycle element in like (1234)(567) which has order 12.
is the answer. if there exists an integer where are distinct primes, such that then the maximal order of elements in is
for example, since and the maximal order of elements in is
see section 4 (the prime connection) of this paper for more details. don't get scared, it's very easy to understand!