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• Group homomorphism
  In [[group theory]] a '''group homomorphism''' is a map from one [[group (mathematics)|group]] to another group that pr
  1 KB (210 words) - 01:00, 11 February 2009
• Group homomorphism/Definition
  92 bytes (12 words) - 01:03, 11 February 2009
• Group homomorphism/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Group homomorphism]]. Needs checking by a human.
  762 bytes (99 words) - 17:00, 11 January 2010

Page text matches

• Character (group theory)
  ...oup theory]], a '''character''' may refer one of two related concepts: a [[group homomorphism]] from a group to the [[unit circle]], or the [[trace (mathematics)|trace]] ==Group homomorphism==
  680 bytes (98 words) - 06:19, 15 June 2009
• Group homomorphism
  In [[group theory]] a '''group homomorphism''' is a map from one [[group (mathematics)|group]] to another group that pr
  1 KB (210 words) - 01:00, 11 February 2009
• Centre of a group
  ...this shows the centre as the [[kernel of a homomorphism|kernel]] of the [[group homomorphism|homomorphism]] to ''G'' to its [[inner automorphism]] group.
  785 bytes (114 words) - 11:29, 13 February 2009
• Group isomorphism
  #REDIRECT [[Group homomorphism#Isomorphism]]
  44 bytes (4 words) - 15:08, 23 November 2008
• Dirichlet character/Definition
  A group homomorphism on the multiplicative group in modular arithmetic extended to a multiplicat
  170 bytes (22 words) - 14:42, 2 January 2009
• Character (group theory)/Related Articles
  {{r|Group homomorphism}}
  294 bytes (36 words) - 06:17, 15 June 2009
• Discrete logarithm/Related Articles
  {{r|Group homomorphism}} <!-- more precisely, group isomorphism -->
  307 bytes (40 words) - 11:59, 15 June 2009
• Group homomorphism/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Group homomorphism]]. Needs checking by a human.
  762 bytes (99 words) - 17:00, 11 January 2010
• Group theory/Related Articles
  {{r|Group homomorphism}}
  1 KB (180 words) - 17:00, 11 January 2010
• Characteristic subgroup
  ...to itself by any [[endomorphism]] of the group: that is, if ''f'' is any [[group homomorphism|homomorphism]] from ''G'' to itself, then <math>f[H] \subseteq H</math>. F
  2 KB (358 words) - 02:37, 18 November 2008
• Exact sequence/Related Articles
  {{r|Group homomorphism}}
  515 bytes (67 words) - 16:26, 11 January 2010
• Normal subgroup
  ...ts and that the '''quotient map''' <math>q_N : x \mapsto N x</math> is a [[group homomorphism]]. Because of this property ''N'' is sometimes called a ''normal divisor'' ...Theorem]] for groups states that if <math>f : G \rightarrow H</math> is a group homomorphism then the [[kernel]] of ''f'', say ''K'', is a normal subgroup of ''G'', and
  5 KB (785 words) - 09:22, 30 July 2009
• Isogeny/Related Articles
  {{r|Group homomorphism}}
  508 bytes (64 words) - 17:35, 11 January 2010
• Dirichlet character
  ...N'')* for the multiplicative group of integers modulo ''N''. Let χ be a [[group homomorphism]] from ('''Z'''/''N'')* to the [[unit circle]]. Since the multiplicative g
  2 KB (335 words) - 06:03, 15 June 2009
• Exact sequence
  A ''sequence'' will simply be a collection of [[group homomorphism]]s <math>f_i</math> and [[group (mathematics)|group]]s <math>G_i</math> wit
  3 KB (471 words) - 17:22, 15 November 2008
• Group action
  ...ightarrow S_X</math> from ''G'' to the [[symmetric group]] on ''X'' is a [[group homomorphism]], and every group action arises in this way. We may speak of the action a
  4 KB (727 words) - 12:37, 16 November 2008
• Group theory
  A [[group homomorphism|homomorphism]] is a map from one group to another group that preserves the ...subgroup <math>N</math> of a group <math>G</math>. There is a canonical [[group homomorphism|homomorphism]] from <math>G</math> onto the quotient group (for which <math
  15 KB (2,535 words) - 20:29, 14 February 2010
• Isogeny
  ...belian variety|abelian varieties]] is a [[rational map]] which is also a [[group homomorphism]], with finite kernel. ...E''₁ to the zero of ''E''₁, then it is necessarily a group homomorphism. The kernel of φ is a proper subvariety of ''E''₁ and hence a
  4 KB (647 words) - 15:51, 7 February 2009
• Algebraic number field
  ...'' into '''R'''^''r''×'''C'''^''s''. The map Σ is a [[group homomorphism]] on the [[additive group]] ''K''⁺. ...>(x)| and is a map from ''K''* to '''R'''^''r''+''s'': it is a [[group homomorphism]]. The Unit Theorem implies that this map has the roots of unity as kernel
  7 KB (1,077 words) - 17:18, 10 January 2009
• Group (mathematics)
  ...[[semidirect product]]'' of two groups ''N'' and ''H'' with respect to a [[group homomorphism]] &phi; : ''H'' &rarr; Aut(''N'') is a new group (''N'' &times; ''H'', *),
  19 KB (3,074 words) - 11:11, 13 February 2009