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References to 'kernel'
1. a group homomorphism is injective iff the kernel is trivial by alozano
2. abelian groups form an abelian category, proof that by mps
3. braid group by bwebste
4. decomposition group by djao
5. examples of finite simple groups by mathcam
6. field is discrete and cocompact in its ad\`{e}les by rm50
7. generalized quaternion group by Algeboy
8. group actions and homomorphisms by CWoo
9. group homomorphism by yark
10. Hamiltonian quaternions by mathcam
11. homomorphisms of simple groups by rspuzio
12. inner automorphism by rmilson
13. kernel of a homomorphism between algebraic systems by CWoo
14. Klein 4-group by Algeboy
15. lecture notes on polynomial interpolation by rmilson
16. maximal ideals of the algebra of continuous functions on a compact set by asteroid
17. normal subgroup by djao
18. presentation of a group by rmilson
19. proof of Chinese remainder theorem by mclase
20. proof of embedding theorem for ordered abelian groups of rank one by rspuzio
21. proof of first isomorphism theorem by uriw
22. proof of fourth isomorphism theorem by aoh45
23. proof of fundamental theorem of Galois theory by pbruin
24. proof of Scott-Wiegold conjecture by whm22
25. proof of third isomorphism theorem by Thomas Heye
26. property of infinite simple group by Algeboy
27. quotient representations by rm50
28. Schur's lemma by rmilson
29. structure of $(\mathbb{Z}/n\mathbb{Z})^{\times}$ as an abelian group by rm50
30. the kernel of a group homomorphism is a normal subgroup by alozano