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- In [[group theory]] a '''group homomorphism''' is a map from one [[group (mathematics)|group]] to another group that pr1 KB (210 words) - 01:00, 11 February 2009
- 12 bytes (1 word) - 01:02, 11 February 2009
- 92 bytes (12 words) - 01:03, 11 February 2009
- | pagename = Group homomorphism | abc = Group homomorphism2 KB (227 words) - 01:02, 11 February 2009
- 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
- ...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
- In [[group theory]] a '''group homomorphism''' is a map from one [[group (mathematics)|group]] to another group that pr1 KB (210 words) - 01:00, 11 February 2009
- ...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
- #REDIRECT [[Group homomorphism#Isomorphism]]44 bytes (4 words) - 15:08, 23 November 2008
- A group homomorphism on the multiplicative group in modular arithmetic extended to a multiplicat170 bytes (22 words) - 14:42, 2 January 2009
- {{r|Group homomorphism}}294 bytes (36 words) - 06:17, 15 June 2009
- {{r|Group homomorphism}} <!-- more precisely, group isomorphism -->307 bytes (40 words) - 11:59, 15 June 2009
- Auto-populated based on [[Special:WhatLinksHere/Group homomorphism]]. Needs checking by a human.762 bytes (99 words) - 17:00, 11 January 2010
- {{r|Group homomorphism}}1 KB (180 words) - 17:00, 11 January 2010
- ...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>. F2 KB (358 words) - 02:37, 18 November 2008
- {{r|Group homomorphism}}515 bytes (67 words) - 16:26, 11 January 2010
- ...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'', and5 KB (785 words) - 09:22, 30 July 2009
- | pagename = Group homomorphism | abc = Group homomorphism2 KB (227 words) - 01:02, 11 February 2009
- {{r|Group homomorphism}}508 bytes (64 words) - 17:35, 11 January 2010
- {{rpl|Group homomorphism}}5 KB (628 words) - 04:35, 22 November 2023
- ...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 g2 KB (335 words) - 06:03, 15 June 2009
- A ''sequence'' will simply be a collection of [[group homomorphism]]s <math>f_i</math> and [[group (mathematics)|group]]s <math>G_i</math> wit3 KB (471 words) - 17:22, 15 November 2008
- ...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 a4 KB (727 words) - 12:37, 16 November 2008
- 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 <math15 KB (2,535 words) - 20:29, 14 February 2010
- ...belian variety|abelian varieties]] is a [[rational map]] which is also a [[group homomorphism]], with finite kernel. ...E''<sub>1</sub> to the zero of ''E''<sub>1</sub>, then it is necessarily a group homomorphism. The kernel of φ is a proper subvariety of ''E''<sub>1</sub> and hence a4 KB (647 words) - 15:51, 7 February 2009
- ...'' into '''R'''<sup>''r''</sup>×'''C'''<sup>''s''</sup>. The map Σ is a [[group homomorphism]] on the [[additive group]] ''K''<sup>+</sup>. ...>(x)| and is a map from ''K''* to '''R'''<sup>''r''+''s''</sup>: it is a [[group homomorphism]]. The Unit Theorem implies that this map has the roots of unity as kernel7 KB (1,077 words) - 17:18, 10 January 2009
- ...[[semidirect product]]'' of two groups ''N'' and ''H'' with respect to a [[group homomorphism]] φ : ''H'' → Aut(''N'') is a new group (''N'' × ''H'', *),19 KB (3,074 words) - 11:11, 13 February 2009
- ...roup in 3 dimensions. Note that the map '''A''' → det('''A''') is a [[group homomorphism]]: the set of determinants forms a 1-dimensional [[irreducible representati12 KB (1,865 words) - 02:49, 19 April 2010
- ...to assure that this map of rotation matrices to rotation operators is a [[group homomorphism]]. Since this point was discussed at some length in [[Wigner]]'s famous boo Substitution of this rotation, use of [[group homomorphism]] and unitarity of ''D''-matrices,34 KB (5,282 words) - 14:21, 1 January 2011