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References to 'first isomorphism theorem'
1. alternating group is a normal subgroup of the symmetric group by CWoo
2. fundamental theorem of Galois theory by yark
3. normality of subgroups of prime index by azdbacks4234
4. proof of fundamental theorem of Galois theory by pbruin
5. proof of properties of Hopfian and co-Hopfian groups by joking
6. proof of second isomorphism theorem for groups by yark
7. proof of second isomorphism theorem for rings by smw
8. proof of third isomorphism theorem by Thomas Heye
9. proof that all cyclic groups of the same order are isomorphic to each other by Wkbj79
10. semi-direct factor and quotient group by yark