subgroup Hear it!

subgroup Definition

sub·group (-gro̵̅o̅p′)

noun

  1. a subdivision of a group; subordinate group
  2. Chem. a vertical subdivision of a group in the periodic table of chemical elements
  3. Math. a group whose elements form a subset of another group
subgroup Usage Examples

Preposition: of

  • index: GAP computes 10 subgroups of index 11 and 8 subgroups of index 12.
  • patient: No death reduction was observed in the subgroup of patients with lower disease severity.
  • population: The vitamin D status of subgroups of the populations has been shown to be poor.

Converse of object

  • compute: This can be used for example to compute only subgroups of certain sizes.
  • derive: It is often also possible to compute the derived subgroup of a tame rcwa group.
  • generate: We will need a fast way to generate a subgroup.
  • define: No test is done whether the property actually defines a subgroup.
  • compare: In this case you have to compare the subgroups manually by Compare Subgroups.

Adjective modifier

  • maximal: The maximal subgroups of the Lyons group, Math.
  • cyclic: Better: On the set of cyclic subgroups of prime power order.
  • solvable: The solvable socle of a group grp is the subgroup generated by all minimal normal solvable subgroups of grp.
  • abelian: For the sake of simplicity we assume that N G is an elementary abelian characteristic subgroup with elementary abelian factor group G / N.
  • 2-sylow: It has index 77, so it contains a full 2-Sylow subgroup.
  • trivial: There is no vertex for the trivial subgroup ( yet ).

Modifies a noun

  • lattice: Therefore this example builds only a partial subgroup lattice.
  • generator: This command allows subgroup generators to be deleted from the presentation.
  • eg: A bias to the subgroup eg the plan is.
  • analysis: There are small numbers of women making subgroup analyzes difficult.

Noun used with modifier

  • -invariant: If it returns false, no such act -invariant subgroup N may belong to calX.
  • trading: In identifying companies whose shares might qualify for SSE exemption the concept of a trading subgroup is used to describe part of a group.