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References to 'normal subgroup'
1. $\mathit{SL}(2,\mathbb{F}_p)$ has no $1$ dimensional irreducible representations over $\mathbb{F}_p$ by alozano
2. a group embeds into its profinite completion if and only if it is residually finite by yark
3. a nontrivial normal subgroup of a finite $p$-group $G$ and the center of $G$ have nontrivial intersection by gumau
4. a subgroup of index 2 is normal by alozano
5. abelian group by yark
6. abelian groups form an abelian category, proof that by mps
7. abelianization by yark
8. abnormal subgroup by yark
9. affine transformation by matte
10. alternating group is a normal subgroup of the symmetric group by CWoo
11. ascending series by yark
12. Burnside normal complement theorem by bwebste
13. Burnside's Theorem by rm50
14. calculus of subgroup orders by Algeboy
15. canonical projection by Dr_Absentius
16. Cayley's theorem by vitriol
17. center of a group by yark
18. center of a Hausdorff topological group is closed by asteroid
19. central product of groups by Algeboy
20. centralizers in algebra by Algeboy
21. characteristic subgroup by yark
22. characterization of Alexandroff groups by joking
23. characterization of finite nilpotent groups by yark
24. Chernikov group by yark
25. classification of covering spaces by Dr_Absentius
26. classification of semisimple groups by bwebste
27. closure of sets closed under a finitary operation by yark
28. component of identity of a topological group is a closed normal subgroup by asteroid
29. concepts in abstract algebra by matte
30. conditional distribution of multi-variate normal variable by stevecheng
31. congruence by mclase
32. core of a subgroup by yark
33. correspondence of normal subgroups and group congruences by Dr_Absentius
34. derived subgroup by yark
35. descending series by yark
36. dihedral group properties by Algeboy
37. empirical proof that solving opposing faces of a Rubik's cube does not necessarily solve the middle layer by PrimeFan
38. example of an Alexandroff space which cannot be turned into a topological group by joking
39. example of groups of order pq by jh
40. example of infinite simple group by rspuzio
41. examples of finite simple groups by mathcam
42. examples of groups by AxelBoldt
43. existence of maximal subgroups by Algeboy
44. factor system by mathcam
45. FC-group by yark
46. finding the order of a group by Algeboy
47. finite nilpotent groups by Algeboy
48. Fitting's theorem by yark
49. fractional ideal of commutative ring by pahio
50. Frattini argument by bwebste
51. Frattini subgroup of a finite group is nilpotent, the by yark
52. fundamental homomorphism theorem by yark
53. fundamental theorem of Galois theory by yark
54. Galois groups of finite abelian extensions of $\mathbb{Q}$ by Wkbj79
55. Galois representation by alozano
56. general linear model by CWoo
57. generalized quaternion group by Algeboy
58. group extension by CWoo
59. group homomorphism by yark
60. group socle by Algeboy
61. groupoid and group representations related to quantum symmetries by bci1
62. groups of order pq by yark
63. Hamiltonian group by yark
64. Heron's principle by pahio
65. homomorphisms of simple groups by rspuzio
66. indecomposable group by smw
67. infinite Galois theory by djao
68. inner automorphism by rmilson
69. Jordan-H\"older decomposition by djao
70. Jordan-H\"older decomposition theorem by djao
71. kernel by rmilson
72. Klein 4-group by Algeboy
73. Krull-Schmidt theorem by smw
74. lattice of subgroups by CWoo
75. local finiteness is closed under extension, proof that by yark
76. locally finite group by CWoo
77. locally nilpotent group by yark
78. loop theorem by juanman
79. L\'evy process by PrimeFan
80. mapping class group by rspuzio
81. maximal subgroup by yark
82. metabelian group by yark
83. metacyclic group by yark
84. modular lattice by yark
85. normal closure by yark
86. normal is not transitive by Wkbj79
87. normal subgroup lattice is modular by CWoo
88. normal subgroups form sublattice of a subgroup lattice by CWoo
89. normal subgroups of the symmetric groups by rm50
90. normal variety by mathcam
91. normality of subgroups is not transitive by yark
92. normality of subgroups of prime index by azdbacks4234
93. normalizer by yark
94. octic group by Daume
95. one-sided normality of subsemigroup by lars_h
96. orbits of a normal subgroup are equal in size when the full group acts transitively by rm50
97. parallel curve by stitch
98. permutable subgroup by yark
99. polycyclic group by yark
100. presentations of algebraic objects by CWoo
101. profinite completion by yark
102. projective line configurations by rspuzio
103. pronormal subgroup by yark
104. proof of casus irreducibilis for real fields by rm50
105. proof of first isomorphism theorem by uriw
106. proof of fourth isomorphism theorem by aoh45
107. proof of Frattini argument by bwebste
108. proof of fundamental theorem of Galois theory by pbruin
109. proof of Marty's theorem by karstenb
110. proof of properties of Hopfian and co-Hopfian groups by joking
111. proof of second isomorphism theorem for groups by yark
112. proof of simplicity of Mathieu groups by monster
113. proof of the Burnside basis theorem by Algeboy
114. proof of the Jordan H\"{o}lder decomposition theorem by djao
115. proof of third isomorphism theorem by Thomas Heye
116. properties of conjugacy by pahio
117. properties of group commutators and commutator subgroups by GrafZahl
118. quantum groups and von Neumann algebras by bci1
119. quaternion group by mathcam
120. quotient group by azdbacks4234
121. quotient group of a topological group by its identity component is totally disconnected by joking
122. quotient ring by mathwizard
123. regular covering by Dr_Absentius
124. residually $\mathfrak{X}$ by yark
125. second isomorphism theorem by djao
126. section of a group by yark
127. semidirect product of groups by djao
128. semilattice by mclase
129. semisimple group by Algeboy
130. simple algebraic system by CWoo
131. simple group by yark
132. simplicity of the alternating groups by rmilson
133. special notations in algebra by Wkbj79
134. spiral motion of a particle by perucho
135. subgroups containing the normalizers of Sylow subgroups normalize themselves by bwebste
136. subgroups of $S_4$ by rm50
137. subnormal series by mclase
138. subnormal subgroup by yark
139. subring by yark
140. Sylow theorems, proof of by Henry
141. the derived subgroup is normal by juanman
142. the kernel of a group homomorphism is a normal subgroup by alozano
143. third isomorphism theorem by yark
144. three theorems on parabolas by CWoo
145. topological group by yark
146. transversals / lifts / sifts by Algeboy
147. unimodular matrix by CWoo
148. unit normal loss function by georgiosl
149. unramified extensions and class number divisibility by alozano
150. valuation determined by valuation domain by pahio
151. virtually abelian group by yark
152. virtually cyclic group by yark
153. Zeta function of a group by avf