I am having a difficult time with the following question:
Find a four element abelian subgroup of S5 and then write its table.
I am lost as to where to start. Do I arbitrarily choose 4 elements of S5 = (1,2,3,4,5)? Any assistance will help!
2026-04-03 14:32:13.1775226733
Groups of Pemutations
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Two examples giving two different (up to isomorphism) groups with four elements:
$$H:=\langle (1234)\rangle\;,\;\;K:=\langle (12)(34)\,,\,(13)(24)\rangle$$