Search results

Page title matches

• Group in which every weakly abnormal subgroup is abnormal
  A group in which every weakly abnormal subgroup is abnormal is a group ... weakly abnormal subgroup|abnormal subgroup ==Relation with other properties ... ...
  666 bytes (79 words) - 01:03, 22 February 2009
• Abnormal subgroup
  The notion of abnormal subgroup was introduced by Roger W. Carter ... # H is a defining ingredient::weakly abnormal subgroup of G and is ... ...
  3 KB (389 words) - 00:56, 22 February 2009
• Weakly abnormal subgroup
  Equivalence of definitions of weakly abnormal subgroup ==Formalisms== ... * Weaker than::Abnormal subgroup ===Weaker properties=== ... ...
  3 KB (373 words) - 18:54, 7 October 2008
• Equivalence of definitions of weakly abnormal subgroup
  weakly abnormal subgroup ==The definitions that we have to prove as equivalent== Here are two equivalent definitions of weakly abnormal for a ... ...
  3 KB (587 words) - 18:53, 7 October 2008
• Normal subgroup of abnormal subgroup
  #redirect Subgroup with abnormal normalizer ... ...
  47 bytes (5 words) - 16:41, 28 September 2008

Page text matches

• Subgroup with abnormal normalizer
  subgroup in a group whose normalizer is an abnormal subgroup. ... * Weaker than::Abnormal subgroup * Weaker than::Pronormal subgroup: ... ...
  623 bytes (66 words) - 16:19, 11 February 2009
• Normalizer of pronormal implies abnormal
  subgroup of a group is an fact about::abnormal subgroup. ... G. Then, the normalizer N_G(H) is an abnormal subgroup of G. ... ...
  2 KB (302 words) - 18:12, 1 September 2008
• Abnormal normalizer and 2-subnormal not implies normal
  whose normalizer in the whole group is an abnormal subgroup, need not be a normal subgroup. ==Related facts== ===Corollaries=== * 2-subnormal ... ...
  1 KB (196 words) - 16:48, 8 November 2008
• Group in which every weakly abnormal subgroup is abnormal
  A group in which every weakly abnormal subgroup is abnormal is a group ... weakly abnormal subgroup|abnormal subgroup ==Relation with other properties ... ...
  666 bytes (79 words) - 01:03, 22 February 2009
• Sylow normalizer implies weakly abnormal
  subgroup in a finite group is a weakly abnormal subgroup: any subgroup containing it is a fact about::self-normalizing subgroup. ==Facts used== ... ...
  642 bytes (70 words) - 12:23, 7 October 2008
• Normalizer of weakly pronormal implies weakly abnormal
  subgroup is a fact about::weakly abnormal subgroup. ==Definitions used== ... ===Weaky abnormal subgroup=== ==Related facts== * Normalizer of pronormal ... ...
  302 bytes (35 words) - 13:51, 22 September 2008
• Self-normalizing Sylow subgroup
  * Stronger than::Abnormal subgroup: Also related: ** Stronger than::Weakly abnormal subgroup ** Stronger than::Self-normalizing ... ...
  2 KB (258 words) - 18:52, 11 March 2009
• Weakly abnormal subgroup
  Equivalence of definitions of weakly abnormal subgroup ==Formalisms== ... * Weaker than::Abnormal subgroup ===Weaker properties=== ... ...
  3 KB (373 words) - 18:54, 7 October 2008
• Abnormal normalizer not implies pronormal
  A subgroup whose normalizer is an abnormal subgroup need not be pronormal. ==Facts used== # Abnormal normalizer and 2-subnormal not implies normal ... ...
  432 bytes (49 words) - 22:08, 19 September 2008
• Maximal implies normal or abnormal
  ===Abnormal subgroup=== Abnormal subgroup A subgroup H of a group G is termed abnormal in G ... ...
  3 KB (458 words) - 17:35, 24 February 2011
• Borel subgroup is abnormal in general linear group
  property = abnormal subgroup}} ==Statement== Then, B_n(k) is an fact about::abnormal subgroup inside GL_n(k). ... ...
  1 KB (192 words) - 22:15, 7 October 2008
• Sylow normalizer implies abnormal
  weaker = abnormal subgroup}} {{subgroup property implication in| ... Sylow subgroup in a finite group is an abnormal subgroup. ... ...
  540 bytes (64 words) - 19:30, 19 September 2008
• Abnormal implies WNSCC
  Suppose H is an abnormal subgroup of a group G. Then, H is a WNSCC ... ===Abnormal subgroup=== Abnormal subgroup A subgroup H of a group G ... ...
  2 KB (445 words) - 18:02, 11 February 2009
• Abnormal subgroup
  The notion of abnormal subgroup was introduced by Roger W. Carter ... # H is a defining ingredient::weakly abnormal subgroup of G and is ... ...
  3 KB (389 words) - 00:56, 22 February 2009
• Intermediately contranormal subgroup
  #redirect Weakly abnormal subgroup ... ...
  38 bytes (4 words) - 18:45, 7 October 2008
• Upward-closed self-normalizing subgroup
  #redirect Weakly abnormal subgroup ... ...
  38 bytes (4 words) - 12:22, 7 October 2008
• Subabnormal subgroup
  such that each H_i is an abnormal subgroup of G. ==Relation with other ... * Abnormal subgroup ===Weaker properties=== * Contranormal subgroup ... ...
  532 bytes (69 words) - 00:18, 8 May 2008
• Contranormal not implies self-normalizing
  * Abnormal subgroup * Weakly abnormal subgroup For instance, the normalizer of any Sylow ... ...
  2 KB (343 words) - 12:28, 17 August 2008
• Paracharacteristic subgroup
  * Weaker than::Abnormal subgroup * Weaker than::Weakly abnormal subgroup ===Weaker properties=== ... ...
  999 bytes (112 words) - 18:49, 7 October 2008
• GAP:IsAbnormal
  H \le G, the function returns true if H is an abnormal subgroup of G. * If there exists g \in G such that g is not in the subgroup generated by ... ...
  1 KB (202 words) - 00:36, 23 November 2008