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  • ...of generators. Every group is isomorphic to a [[quotient group]] of some free group, so understanding the properties of free groups helps us understand the str ...}x</math>. The [[equivalence class]]es now form a group, and this is the free group on ''X''.
    2 KB (436 words) - 02:56, 15 November 2008
  • 595 bytes (73 words) - 17:25, 13 November 2008
  • 169 bytes (28 words) - 16:53, 13 November 2008
  • 910 bytes (146 words) - 16:55, 13 November 2008

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  • ...of generators. Every group is isomorphic to a [[quotient group]] of some free group, so understanding the properties of free groups helps us understand the str ...}x</math>. The [[equivalence class]]es now form a group, and this is the free group on ''X''.
    2 KB (436 words) - 02:56, 15 November 2008
  • {{r|Free group}}
    1 KB (180 words) - 17:00, 11 January 2010
  • {{r|Free group}}
    2 KB (247 words) - 17:28, 11 January 2010
  • ...very group is [[group isomorphism|isomorphic]] to a quotient group of some free group, so understanding the properties of free groups helps us understand the str ...m [[Cayley's theorem]]), its isomorphic version as a quotient group of a [[free group]], or as a group of matrices over some field (as a [[group representation]]
    15 KB (2,535 words) - 20:29, 14 February 2010
  • 5 KB (688 words) - 11:35, 2 February 2023