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.

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- Dec 13th 2009, 09:26 PMjackieFinding element of maximal order in symmetric group
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. - Dec 13th 2009, 10:20 PMNonCommAlg
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! (Nod)