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2 July 2009

• (diff) (hist) . . Proper and normal in quasisimple implies central‎; 17:22 . . (+683) . . Vipul (Talk | contribs)

30 June 2009

• (diff) (hist) . . N Characteristic transitively normal subgroup‎; 14:16 . . (+938) . . Vipul (Talk | contribs) (Created page with '{{wikilocal}} {{subgroup property conjunction|characteristic subgroup|transitively normal subgroup}} {{subgroup property conjunction|characteristic subgroup|CEP-subgroup}} ==Defi…')
• (diff) (hist) . . Conjugacy-closed characteristic subgroup‎; 14:13 . . (+48) . . Vipul (Talk | contribs) (→Relation with other properties: )
• (diff) (hist) . . N Conjugacy-closed characteristic subgroup‎; 14:13 . . (+778) . . Vipul (Talk | contribs) (Created page with '{{subgroup property conjunction|conjugacy-closed subgroup|characteristic subgroup}} ==Definition== A subgroup of a group is termed a '''conjugacy-closed characteristic …')
• (diff) (hist) . . Characteristic subgroup‎; 14:10 . . (-10) . . Vipul (Talk | contribs) (→Examples in abelian groups: )
• (diff) (hist) . . Characteristic subgroup‎; 14:01 . . (0) . . Vipul (Talk | contribs) (→Examples: )
• (diff) (hist) . . Characteristic implies normal‎; 13:52 . . (+325) . . Vipul (Talk | contribs) (→Intermediate invariance properties: )
• (diff) (hist) . . Characteristic subgroup‎; 13:51 . . (+113) . . Vipul (Talk | contribs) (→Weaker properties: )
• (diff) (hist) . . Characteristic subgroup‎; 13:49 . . (+172) . . Vipul (Talk | contribs) (→Formalisms: )
• (diff) (hist) . . Central factor‎; 13:48 . . (+101) . . Vipul (Talk | contribs) (→Formalisms: )
• (diff) (hist) . . Transitively normal subgroup‎; 13:46 . . (+93) . . Vipul (Talk | contribs) (→Formalisms: )
• (diff) (hist) . . Perfect characteristic subgroup‎; 13:32 . . (+106) . . Vipul (Talk | contribs) (→Relation with other properties: )
• (diff) (hist) . . Characteristic direct factor‎; 13:31 . . (+183) . . Vipul (Talk | contribs) (→Relation with other properties: )
• (diff) (hist) . . IA-balanced subgroup‎; 13:30 . . (+46) . . Vipul (Talk | contribs)
• (diff) (hist) . . IA-balanced subgroup‎; 13:27 . . (+26) . . Vipul (Talk | contribs) (→Relation with other properties: )
• (diff) (hist) . . N IA-automorphism-invariant subgroup‎; 13:26 . . (+1,142) . . Vipul (Talk | contribs) (Created page with '{{wikilocal}} {{subgroup property}} ==Definition== A subgroup of a group is termed an '''IA-automorphism-invariant subgroup''' if it is invariant under all [[IA-automor…')
• (diff) (hist) . . IA-balanced subgroup‎; 13:22 . . (+94) . . Vipul (Talk | contribs) (→Relation with other properties: )
• (diff) (hist) . . N Normal subgroup whose commutator subgroup equals its intersection with whole commutator subgroup‎; 13:21 . . (+909) . . Vipul (Talk | contribs) (Created page with '{{wikilocal}} {{subgroup property conjunction|normal subgroup|subgroup whose commutator subgroup equals its intersection with whole commutator subgroup}} ==Definition== A [[sub…')
• (diff) (hist) . . N IA-balanced subgroup‎; 13:10 . . (+810) . . Vipul (Talk | contribs) (Created page with '{{wikilocal}} {{subgroup property}} ==Definition== A subgroup of a group is termed an '''IA-balanced subgroup''' if every IA-automorphism of the whole group restric…')
• (diff) (hist) . . Normal subgroup‎; 13:03 . . (+510) . . Vipul (Talk | contribs) (→Formalisms: )
• (diff) (hist) . . Normal subgroup whose focal subgroup equals its intersection with the commutator subgroup‎; 12:52 . . (-34) . . Vipul (Talk | contribs)
• (diff) (hist) . . N Normal subgroup whose focal subgroup equals its commutator subgroup‎; 12:49 . . (+924) . . Vipul (Talk | contribs) (Created page with '{{wikilocal}} {{subgroup property conjunction|normal subgroup|subgroup whose focal subgroup equals its commutator subgroup}} ==Definition== A '''normal subgroup whose focal sub…')
• (diff) (hist) . . Normal subgroup whose focal subgroup equals its intersection with the commutator subgroup‎; 12:34 . . (+158) . . Vipul (Talk | contribs) (→Definition: )
• (diff) (hist) . . N Normal subgroup whose focal subgroup equals its intersection with the commutator subgroup‎; 12:33 . . (+784) . . Vipul (Talk | contribs) (Created page with '{{wikilocal}} {{subgroup property}} ==Definition== A '''normal subgroup whose focal subgroup equals its intersection with the commutator subgroup''' is a subgroup <math>H</…')
• (diff) (hist) . . Subgroup whose focal subgroup equals its intersection with the commutator subgroup‎; 12:25 . . (+109) . . Vipul (Talk | contribs) (→Relation with other properties: )
• (diff) (hist) . . Normal automorphism‎; 12:18 . . (+96) . . Vipul (Talk | contribs) (→Relation with other properties: )
• (diff) (hist) . . Funky definitions of normal subgroup‎; 12:16 . . (+1,144) . . Vipul (Talk | contribs) (→Definition via function restriction expression: )
• (diff) (hist) . . Funky definitions of normal subgroup‎; 12:11 . . (-1,366) . . Vipul (Talk | contribs) (→Definition via function restriction expression: )
• (diff) (hist) . . N Strong formula automorphism‎; 12:09 . . (+606) . . Vipul (Talk | contribs) (Created page with '{{variety-algebra automorphism property}} ==Definition== An automorphism of an algebra in a variety of algebras is a formula automorphism whose inverse is also a fo…')
• (diff) (hist) . . Strong monomial automorphism‎; 12:07 . . (+48) . . Vipul (Talk | contribs) (→Weaker properties: )
• (diff) (hist) . . Strong monomial automorphism‎; 12:07 . . (+195) . . Vipul (Talk | contribs) (→Relation with other properties: )
• (diff) (hist) . . Monomial automorphism‎; 12:05 . . (+261) . . Vipul (Talk | contribs)
• (diff) (hist) . . N Formula automorphism‎; 12:03 . . (+1,013) . . Vipul (Talk | contribs) (Created page with '{{wikilocal}} {{variety-algebra automorphism property}} ==Definition== Let <math>\mathcal{V}</math> be a variety of algebras and <math>A</math> be an algebra in <math>\math…')
• (diff) (hist) . . Center not is fully invariant‎; 00:41 . . (+77) . . Vipul (Talk | contribs)
• (diff) (hist) . . Fully invariant not implies verbal in finite abelian group‎; 00:29 . . (-24) . . Vipul (Talk | contribs) (→Related facts: )
• (diff) (hist) . . Fully invariant not implies verbal in finite abelian group‎; 00:28 . . (-10) . . Vipul (Talk | contribs)
• (Move log); 00:27 . . Vipul (Talk | contribs) moved Fully invariant not implies verbal in finite Abelian group to Fully invariant not implies verbal in finite abelian group
• (Move log); 00:27 . . Vipul (Talk | contribs) moved Fully characteristic not implies verbal in finite Abelian group to Fully invariant not implies verbal in finite Abelian group
• (diff) (hist) . . Socle not is fully invariant in class two p-group‎; 00:26 . . (+11) . . Vipul (Talk | contribs)
• (diff) (hist) . . Characteristic not implies fully invariant in odd-order class two p-group‎; 00:25 . . (-20) . . Vipul (Talk | contribs) (→Related facts: )
• (diff) (hist) . . N Socle not is fully invariant in odd-order class two p-group‎; 00:25 . . (+63) . . Vipul (Talk | contribs) (Redirected page to Socle not is fully invariant in class two p-group)
• (diff) (hist) . . Characteristic not implies fully invariant in class three maximal class p-group‎; 00:24 . . (+398) . . Vipul (Talk | contribs)
• (diff) (hist) . . N Characteristic not implies fully invariant in class three maximal class p-group‎; 00:22 . . (+1,825) . . Vipul (Talk | contribs) (Created page with '==Statement== Let <math>p</math> be any prime number. There exists a <math>p</math>-group that is of class three that is a maximal class group with a [[characteristic su…')
• (diff) (hist) . . Characteristic not implies fully invariant in odd-order class two p-group‎; 00:10 . . (-8) . . Vipul (Talk | contribs) (→Related facts: )
• (diff) (hist) . . N Socle not is fully invariant in class two p-group‎; 00:09 . . (+1,625) . . Vipul (Talk | contribs) (Created page with '==Statement== Let <math>p</math> be a prime number. There exists a p-group <math>G</math> of class two whose…')
• (Move log); 00:08 . . Vipul (Talk | contribs) moved Center not is fully invariant in odd-order class two p-group to Center not is fully invariant in class two p-group
• (diff) (hist) . . N Center not is fully invariant in odd-order class two p-group‎; 00:07 . . (+1,589) . . Vipul (Talk | contribs) (Created page with '==Statement== Let <math>p</math> be a prime number. There exists a p-group <math>G</math> of class two whose…')
• (diff) (hist) . . N Characteristic not implies fully invariant in odd-order class two p-group‎; 00:03 . . (+2,101) . . Vipul (Talk | contribs) (Created page with '{{subgroup property non-implication in| stronger = characteristic subgroup| weaker = fully invariant subgroup| group property = odd-order class two p-group}} ==Statement== For …')

29 June 2009

• (diff) (hist) . . N Characteristic not implies fully invariant in finite nilpotent group‎; 23:45 . . (+87) . . Vipul (Talk | contribs) (Redirected page to Characteristic not implies fully invariant in odd-order class two p-group)
• (diff) (hist) . . Characteristic not implies fully invariant‎; 23:44 . . (+262) . . Vipul (Talk | contribs) (→Related facts: )