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<math>A_10</math> is a an Alternating Group of degree n. <math>A_n</math> is the group of only even permutations of n symbols.
 
<math>A_10</math> is a an Alternating Group of degree n. <math>A_n</math> is the group of only even permutations of n symbols.
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We have 10 numbers: 1 2 3 4 5 6 7 8 9 10
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Size    Order
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10        10
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8          8
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6          12 6 6 6 6

Revision as of 13:59, 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

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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