The maximum order of an element of $A_{10}$, the group of even permutations on 10 symbols, can have is: a) 30; b) 15; c) 10; d) 20.
My answer is option b) 15 as $\operatorname{lcm}\{3,5,1,1\}=15$ and $10=3+5+1+1$. Am I right?
2026-03-30 09:52:30.1774864350
The maximum order of an element of $A_{10}$
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