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Question

Linear Algebra Question on Groups

Which one of the following groups has elements of order 1, 2, 3, 4, 5 but does not have an element of order greater than or equal to 6 ?

A

The alternating group A6

B

The alternating group A5

C

S6

D

S5

Answer

The alternating group A6

Explanation

Solution

The correct option is (A) : The alternating group A6.