GROUP THEORY SYMBOL

GTLeftCosets

GTLeftCosets[group,subgroup]
gives the left cosets of a group according to a subgroup.

DetailsDetails

  • Suppose a group and a subgroup are given. The set {} is called the left coset of . GTRightCosets gives a list of all distinct right cosets.
  • The following option can be given:
  • GOFastFalseSkips the input validation
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 3.2

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First, load the package:

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Calculate the left cosets of with respect to

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Options  (2)Options  (2)

Neat Examples  (1)Neat Examples  (1)

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