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• Automorphism
  In [[algebra]], an '''automorphism''' of an [[abstract algebra]]ic structure is an [[isomorphism]] of the stru The automorphisms typically form a [[group theory|group]], the '''automorphism group''' of the structure.
  368 bytes (48 words) - 07:49, 5 February 2009
• Inner automorphism
  #REDIRECT [[Conjugation (group theory)#Inner automorphism]]
  59 bytes (6 words) - 14:26, 15 November 2008
• Frobenius automorphism
  #REDIRECT [[Frobenius map#Frobenius automorphism]]
  50 bytes (5 words) - 15:38, 7 December 2008
• Automorphism/Definition
  166 bytes (22 words) - 22:30, 7 February 2009
• Field automorphism
  In [[field theory]], a '''field automorphism''' is an [[automorphism]] of the [[algebraic structure]] of a [[field (mathematics)|field]], that i ...phisms of a given field ''K'' form a [[group (mathematics)|group]], the '''automorphism group''' <math>Aut(K)</math>.
  3 KB (418 words) - 12:18, 20 December 2008
• Field automorphism/Definition
  151 bytes (20 words) - 16:36, 20 November 2008
• Field automorphism/Bibliography
  688 bytes (93 words) - 12:57, 21 November 2008
• Automorphism/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Automorphism]]. Needs checking by a human. {{r|Field automorphism}}
  525 bytes (65 words) - 11:10, 11 January 2010
• Field automorphism/Related Articles
  866 bytes (139 words) - 16:35, 20 November 2008

Page text matches

• Field automorphism
  In [[field theory]], a '''field automorphism''' is an [[automorphism]] of the [[algebraic structure]] of a [[field (mathematics)|field]], that i ...phisms of a given field ''K'' form a [[group (mathematics)|group]], the '''automorphism group''' <math>Aut(K)</math>.
  3 KB (418 words) - 12:18, 20 December 2008
• Inner automorphism
  #REDIRECT [[Conjugation (group theory)#Inner automorphism]]
  59 bytes (6 words) - 14:26, 15 November 2008
• Automorphism
  In [[algebra]], an '''automorphism''' of an [[abstract algebra]]ic structure is an [[isomorphism]] of the stru The automorphisms typically form a [[group theory|group]], the '''automorphism group''' of the structure.
  368 bytes (48 words) - 07:49, 5 February 2009
• Characteristic subgroup/Definition
  A subgroup which is mapped to itself by any automorphism of the whole group.
  112 bytes (17 words) - 16:19, 6 November 2008
• Frobenius map
  ==Frobenius automorphism== When ''F'' is surjective as well as injective, it is called the '''Frobenius automorphism'''. One important instance is when the domain is a [[finite field]].
  1 KB (166 words) - 18:17, 16 February 2009
• Conjugation (group theory)
  ==Inner automorphism== ...T_{y^{-1}}</math>, it is an [[automorphism]] of ''G'', termed an '''inner automorphism'''. The inner automorphisms of ''G'' form a group <math>Inn(G)</math> and
  2 KB (294 words) - 04:53, 19 November 2008
• Automorphism/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Automorphism]]. Needs checking by a human. {{r|Field automorphism}}
  525 bytes (65 words) - 11:10, 11 January 2010
• Frobenius automorphism
  #REDIRECT [[Frobenius map#Frobenius automorphism]]
  50 bytes (5 words) - 15:38, 7 December 2008
• Moore determinant/Definition
  ...t defined over a finite field which has successive powers of the Frobenius automorphism applied to the first column.
  164 bytes (23 words) - 15:53, 28 October 2008
• Characteristic subgroup
  ...' if it mapped to itself by any [[group automorphism]], that is: given any automorphism <math>\sigma</math> of ''G'' and any element ''h'' in ''H'', <math>\sigma(h ...s the intersection of all maximal subgroups, is characteristic because any automorphism will take a maximal subgroup to a maximal subgroup.
  2 KB (358 words) - 02:37, 18 November 2008
• Complex conjugation
  ...omplex numbers over the field of real numbers, and is the only non-trivial automorphism. One can say it is impossible to tell which is ''i'' and which is -''i''.
  906 bytes (139 words) - 13:16, 20 November 2008
• Artin-Schreier polynomial
  ...of characteristic ''p''. The [[Frobenius map]] is an [[field automorphism|automorphism]] of ''F'' and so its [[inverse function|inverse]], the ''p''-th root map i
  2 KB (295 words) - 15:43, 7 December 2008
• Normal subgroup
  # Every [[inner automorphism]] of ''G'' sends ''H'' to within itself # Every [[inner automorphism]] of ''G'' restricts to an automorphism of ''H''
  5 KB (785 words) - 09:22, 30 July 2009
• Ring homomorphism/Related Articles
  {{r|Field automorphism}}
  522 bytes (67 words) - 20:03, 11 January 2010
• Artin L-function
  ...e prime ideal <math> \mathfrak{P} </math>. Also, although the [[Frobenius automorphism]] is only determined up to an element of <math> I_{\mathfrak{P}} </math>, t
  2 KB (315 words) - 15:49, 10 December 2008
• Order (group theory)/Related Articles
  {{r|Field automorphism}}
  594 bytes (76 words) - 19:15, 11 January 2010
• Normal extension/Related Articles
  {{r|Field automorphism}}
  530 bytes (68 words) - 19:04, 11 January 2010
• Finite field/Related Articles
  {{r|Field automorphism}}
  692 bytes (91 words) - 16:33, 11 January 2010
• Rational function/Related Articles
  {{r|Field automorphism}}
  710 bytes (90 words) - 19:54, 11 January 2010
• Characteristic subgroup/Related Articles
  {{r|Automorphism}}
  656 bytes (94 words) - 12:34, 8 November 2008