The cyclic subgroup is just rotations (no reflections).
The alternating subgroup is the set of "even" permutations. Basically, any permutation can be achieved by switching pairs of elements; if the number of pairs you switch is even, that permutation is in the alternating group. I have no clue how one would visualize this like the others in this setting.
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Date: 2011-02-07 12:00 am (UTC)The alternating subgroup is the set of "even" permutations. Basically, any permutation can be achieved by switching pairs of elements; if the number of pairs you switch is even, that permutation is in the alternating group. I have no clue how one would visualize this like the others in this setting.