Search results

Jump to: navigation, search

Page title matches

Page text matches

  • ...s subgroup-defining function::Frattini subgroup]] || intersection of all [[maximal subgroup]]s ||
    1 KB (187 words) - 22:11, 28 June 2011
  • ...subgroup property|subgroup properties]], such as [[subnormal subgroup]], [[maximal subgroup]] etc. A full list of subgroup properties is available at the monster categ
    2 KB (315 words) - 22:42, 7 May 2008
  • ...</math>, <math>|P \cap C| = |Q \cap C|</math>. Then, <math>P</math> is a [[maximal subgroup]] of <math>Sym(n)</math> if and only if <math>Q</math> is.
    2 KB (246 words) - 23:14, 7 May 2008
  • Every [[maximal subgroup]] is either normal or contranormal. * Non-normal [[maximal subgroup]]
    5 KB (676 words) - 22:50, 22 November 2008
  • If a group has a [[maximal subgroup]] that is also core-free, then it is termed a [[primitive group]]. This is
    2 KB (387 words) - 23:24, 7 May 2008
  • * if <math>M</math> is a [[maximal subgroup]] of <math>G</math> and <math>y \in M</math> has prime power order, then th
    876 bytes (150 words) - 23:24, 7 May 2008
  • | sign, kernel a non-cyclic maximal subgroup || 1 || 1 || 1 || any || [[direct product of Z4 and Z2 in M16]] -- <math>\l | sign, kernel a cyclic maximal subgroup || 2 || 1 || 1 || any || [[Z8 in M16]] -- either <math>\langle a \rangle</m
    13 KB (1,733 words) - 00:16, 4 June 2012
  • * [[Nilpotent implies every maximal subgroup is normal]] * The maximal subgroup of <math>P</math> all contain <math>\Phi(P)</math>, the [[Frattini subgroup
    11 KB (1,600 words) - 23:24, 3 November 2010
  • ...oup is normal]]. The upshot is that for a finite <math>p</math>-group, any maximal subgroup is normal and has index <math>p</math>. | PA2 || There exists a maximal subgroup <math>Q</math> of <math>P</math> containing <math>A</math>. <math>Q</math>
    13 KB (2,235 words) - 22:24, 29 September 2010
  • # Every [[maximal subgroup]] is [[normal subgroup|normal]]
    5 KB (655 words) - 04:11, 16 April 2017
  • ...group satisfies the property that every proper subgroup is contained in a maximal subgroup. The proof of this monotonicity uses the statement of this article, along w
    3 KB (441 words) - 23:31, 7 May 2008
  • ...enerally, when every proper subgroup of <math>G</math> is contained in a [[maximal subgroup]], then this condition is equivalent to saying that <math>N</math> is conta
    1 KB (145 words) - 21:16, 7 July 2008
  • ...[[defining ingredient::Frattini subgroup]] (the intersection of all its [[maximal subgroup]]s) is [[trivial group|trivial]]. ...imple group]] or [[characteristically simple group]] that has at least one maximal subgroup, is Frattini-free. This is because the Frattini subgroup must be characteri
    4 KB (566 words) - 16:32, 20 April 2017
  • ...intersection of all maximal subgroups, biggest subgroup contained in every maximal subgroup}} ...section]] of all subgroups <math>M \le G</math>, where <math>M</math> is [[maximal subgroup|maximal]] in <math>G</math>
    4 KB (603 words) - 06:49, 20 April 2017
  • ...generally, of a group where every [[proper subgroup]] is contained in a [[maximal subgroup]])is an [[ACIC-group]]. ...oup]] (or more generally, a group where every subgroup is contained in a [[maximal subgroup]]), and <math>H = \Phi(G)</math> be its [[Frattini subgroup]]. Then, <math>
    5 KB (744 words) - 23:32, 7 May 2008
  • ...[[finite group]] and <math>\Phi(G)</math> denote the intersection of all [[maximal subgroup]]s of <math>G</math> (the so-called [[Frattini subgroup]] of <math>G</math> ...tini subgroup]] of a (here, finite) group is the intersection of all its [[maximal subgroup]]s.
    2 KB (307 words) - 16:02, 18 July 2008
  • ...mal subgroup is a [[group in which every proper subgroup is contained in a maximal subgroup]]. ...satisfies the property that every [[proper subgroup]] is contained in a [[maximal subgroup]]. Then, <math>\Phi(N)</math>, the [[Frattini subgroup]] of <math>N</math>,
    5 KB (751 words) - 13:25, 2 July 2008
  • ...is that in the general structure tree, the index of the normal core of the maximal subgroup may not in general have small value. To ensure this, we need special additi
    3 KB (613 words) - 23:33, 7 May 2008
  • * Group in which every maximal subgroup is normal
    498 bytes (56 words) - 23:43, 7 May 2008
  • * The [[Frattini subgroup]] is the intersection of all [[maximal subgroup]]s
    3 KB (457 words) - 23:43, 7 May 2008

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)