Line 13: Line 13:
  
 
6          12 6 6 6 6
 
6          12 6 6 6 6
 +
 +
4          12 20 (from 4, 5, 1 cycles) 4 (from 4 2 4 cycles) 4 (from 4 3 3) 12

Revision as of 15:05, 9 September 2008

The problem asks, "What is the maximum order of any element in$ A_10 $?"

$ A_10 $ is a an Alternating Group of degree n. $ A_n $ is the group of only even permutations of n symbols.


We have 10 numbers: 1 2 3 4 5 6 7 8 9 10

Size Order

10 10

8 8

6 12 6 6 6 6

4 12 20 (from 4, 5, 1 cycles) 4 (from 4 2 4 cycles) 4 (from 4 3 3) 12

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