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• Normal subgroup
  ...t holds that: ''g h g^−1'' ∈ ''H'', then ''H'' is a normal subgroup of ''G'', (also expressed as "''H'' is invariant in ''G''"). That is, with It is easily verified that ''V''₄ is a normal subgroup of ''S''₄. [Conjugation preserves the cycle structure (..)(..)
  5 KB (785 words) - 09:22, 30 July 2009
• Normal subgroup/Bibliography
  138 bytes (18 words) - 15:34, 14 November 2008
• Normal subgroup/Definition
  132 bytes (27 words) - 10:17, 4 September 2009
• Normal subgroup/Approval
  12 bytes (1 word) - 04:20, 11 November 2007
• Normal subgroup/Related Articles
  872 bytes (138 words) - 15:32, 14 November 2008

Page text matches

• Series (group theory)
  ...A_{i-1}</math>. A subinvariant series in which each subgroup is a maximal normal subgroup of its predecessor is a '''composition series'''. ...oup of the whole group. A subinvariant series in which each subgroup is a normal subgroup of ''G'' maximal subject to being a proper subgroup of its predecessor is a
  1 KB (198 words) - 17:19, 6 December 2008
• Frattini subgroup
  The Frattini is a [[subgroup]], which is [[normal subgroup|normal]] and indeed [[characteristic subgroup|characteristic]].
  583 bytes (84 words) - 05:33, 22 January 2009
• Normaliser
  A subgroup of ''G'' is [[normal subgroup|normal]] in ''G'' if its normaliser is the whole of ''G''.
  511 bytes (84 words) - 12:24, 29 December 2008
• Normal divisor
  #REDIRECT [[Normal subgroup]]
  29 bytes (3 words) - 09:24, 30 July 2009
• Invariant subgroup
  #REDIRECT [[Normal subgroup]]
  29 bytes (3 words) - 09:24, 30 July 2009
• Quotient group
  #REDIRECT [[Normal subgroup#Quotient group]]
  44 bytes (5 words) - 11:49, 31 December 2008
• Characteristic subgroup
  Any characteristic subgroup of a group is [[normal subgroup|normal]], but the converse does not always hold. ...e subgroup of order two in the symmetric group on three elements, is a non-normal subgroup.
  2 KB (358 words) - 02:37, 18 November 2008
• Centre of a group
  The centre is a [[subgroup]], which is [[normal subgroup|normal]] and indeed [[characteristic subgroup|characteristic]]. It may be
  785 bytes (114 words) - 11:29, 13 February 2009
• Frattini subgroup/Related Articles
  {{r|Normal subgroup}}
  483 bytes (61 words) - 16:40, 11 January 2010
• Commutator
  ...'G''/[''G'',''G''] is [[Abelian group|abelian]]. A quotient of ''G'' by a normal subgroup ''N'' is abelian if and only if ''N'' contains the commutator subgroup.
  1 KB (217 words) - 15:16, 11 December 2008
• Normal subgroup
  ...t holds that: ''g h g^&minus;1'' &isin; ''H'', then ''H'' is a normal subgroup of ''G'', (also expressed as "''H'' is invariant in ''G''"). That is, with It is easily verified that ''V''₄ is a normal subgroup of ''S''₄. [Conjugation preserves the cycle structure (..)(..)
  5 KB (785 words) - 09:22, 30 July 2009
• Characteristic subgroup/Related Articles
  {{r|Normal subgroup}}
  656 bytes (94 words) - 12:34, 8 November 2008
• Subgroup/Related Articles
  {{r|Normal subgroup}}
  997 bytes (156 words) - 14:41, 14 November 2008
• Subgroup
  {{r|Normal subgroup}} ...the left cosets and by the right cosets are not the same. A subgroup is [[normal subgroup|normal]] if and only if the left cosets agree with the right cosets for all
  4 KB (631 words) - 07:56, 15 November 2008
• Group homomorphism/Related Articles
  {{r|Normal subgroup}}
  762 bytes (99 words) - 17:00, 11 January 2010
• Group homomorphism
  ...element of the codomain. This subset is a [[normal subgroup]], and every normal subgroup is the kernel of some homomorphism.
  1 KB (210 words) - 01:00, 11 February 2009
• Closure operator
  * [[Normal subgroup]]s of a group. The normal subgroup generated by a subset ''A'' may also be obtained as the subgroup generated
  2 KB (414 words) - 03:00, 14 February 2010
• Quotient (disambiguation)
  * Quotient group: the group structure on the cosets of a normal subgroup of a group.
  355 bytes (52 words) - 05:46, 9 January 2024
• Vierergruppe/Related Articles
  {{r|Normal subgroup}}
  433 bytes (55 words) - 21:30, 11 January 2010
• Conjugation (group theory)/Related Articles
  {{r|Normal subgroup}}
  885 bytes (141 words) - 12:30, 29 December 2008