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• C-closed subgroup
  ==Definition== ===Symbol-free definition=== A subgroup of a group is termed a c-closed subgroup if it satisfies the equivalent conditions: ... ...
  4 KB (424 words) - 19:07, 27 July 2013

Page text matches

• C-closed normal subgroup
  ==Definition== ===Symbol-free definition=== A subgroup of a group is termed a c-closed normal subgroup if it is both a c-closed subgroup (it equals ... ...
  1 KB (133 words) - 21:50, 16 February 2009
• C-closed subgroup
  ==Definition== ===Symbol-free definition=== A subgroup of a group is termed a c-closed subgroup if it satisfies the equivalent conditions: ... ...
  4 KB (424 words) - 19:07, 27 July 2013
• Unconditionally closed subgroup
  ==Definition== A subgroup H of a group G is termed an unconditionally closed subgroup if H is a closed subgroup of G for any topology on G that ... ...
  1 KB (151 words) - 01:47, 28 July 2013
• C-closed implies local powering-invariant
  ==Statement== Suppose G is a group and H is a c-closed subgroup of G, i.e., H occurs as the centralizer of some subset (and hence also of some ... ...
  1 KB (166 words) - 20:43, 11 April 2013
• C-closed implies powering-invariant
  ==Statement== Suppose G is a group and H is a c-closed subgroup of G, i.e., H occurs as the centralizer of some subset (and hence also of some ... ...
  879 bytes (123 words) - 20:51, 31 March 2013
• C-closed self-centralizing subgroup
  ==Definition== ===Symbol-free definition=== A subgroup of a group is termed a c-closed self-centralizing subgroup or a centralizer of Abelian ... ...
  1 KB (217 words) - 21:45, 16 February 2009
• C-closed implies completely divisibility-closed in nilpotent group
  ==Statement== Suppose G is a nilpotent group and H is a c-closed subgroup of G, i.e., H equals the centralizer C_G(K) for some subgroup K of G ... ...
  943 bytes (143 words) - 02:49, 16 July 2013
• Algebraic subgroup
  ==Definition== A subgroup of a group is termed an algebraic subgroup if it is an defining ingredient::algebraic subset of the group, i.e., it ... ...
  2 KB (182 words) - 01:48, 28 July 2013
• Projective special linear group:PSL(2,C)
  ==Definition== This group, denoted PSL(2,\mathbb{C}) or PGL(2,\mathbb{C}), is defined in the following equivalent ways: # It is the projective ... ...
  4 KB (582 words) - 15:55, 18 September 2012
• Proving intersection-closedness
  A subgroup property p is termed an survey article about::intersection-closed subgroup property if an arbitrary (nonempty) intersection of subgroups ... ...
  10 KB (1,366 words) - 15:13, 15 August 2009
• Conjugacy-closed subgroup
  ==Origin== The notion of conjugacy-closed subgroup was introduced in a journal article in the 1950s. ==Definition== ===Symbol-free definition=== ... ...
  6 KB (913 words) - 20:00, 9 April 2009
• Maximal among abelian subgroups
  ==Definition== ===Symbol-free definition=== A subgroup of a group is termed maximal among abelian subgroups or a maximal abelian subgroup or a ... ...
  3 KB (403 words) - 23:07, 25 June 2009
• Centralizer-large subgroup
  ==Statement== Suppose P is a group of prime power order. A subgroup A of P is termed a centralizer-large subgroup if |A||C_P(A)| \ge |B||C_P(B ... ...
  511 bytes (73 words) - 15:55, 30 July 2009
• Fixed-point subgroup of a subgroup of the automorphism group
  ==Definition== A subgroup H of a group G is termed a fixed-point subgroup of a subgroup of the automorphism group if there is a subgroup B of ... ...
  2 KB (226 words) - 17:05, 10 July 2019
• Centralizer
  For centralizer as a subgroup property, refer c-closed subgroup ==Definition== ===Symbol-free definition=== Given any subset of a group, the centralizer ... ...
  3 KB (487 words) - 01:03, 23 August 2012
• Local powering-invariant subgroup
  ==Definition== A subgroup H of a group G is termed a local powering-invariant subgroup if the following hold: # Whenever h \in H and n \in \mathbb{N} ... ...
  7 KB (949 words) - 03:36, 20 August 2021
• Transitively normal subgroup
  ==Definition== ===Equivalent definitions in tabular format=== {| class="sortable" border="1" ! No. !! Shorthand !! A subgroup ... ...
  10 KB (1,325 words) - 15:05, 23 August 2016
• Powering-invariant subgroup
  ==Definition== A subgroup H of a group G is termed powering-invariant if it satisfies the following equivalent conditions: {| class="sortable ... ...
  15 KB (2,062 words) - 02:45, 20 August 2021
• Center
  ==Definition== ===Symbol-free definition=== An element of a group is termed central if the following equivalent conditions hold: # It commutes ... ...
  15 KB (2,081 words) - 20:14, 1 June 2016