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group -- make a group (monoid with inverses)

group R -- yields the underlying group of a group ring.

group [a,b,c] -- makes a free ordered commutative group on the variables listed.

group [a,b,c,Degrees=>{2,3,4}] -- makes a free ordered commutative group on the variables listed, with degrees 2, 3, and 4, respectively.

group [a,b,c,Degrees=>{{1,2},{3,-3},{0,4}}] -- makes a free ordered commutative group on the variables listed, with multi-degrees as listed.

group [a,b,c,Degrees=>{{},{},{}}] -- makes a free ordered commutative group on the variables listed, ungraded.

The class of all groups created this way is GeneralOrderedGroup.

See also:

  • Degrees -- specify the degrees
  • OrderedMonoid -- the class of all ordered monoids
  • monoid -- make a monoid
  • Ways to use group :

  • group Array
  • group Ring

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