user_guide:tutorials:apps_group

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user_guide:tutorials:apps_group [2019/01/25 09:38] – ↷ Page moved from user_guide:apps_group to user_guide:tutorials:apps_group oroehriguser_guide:tutorials:apps_group [2019/01/25 13:40] – ↷ Links adapted because of a move operation oroehrig
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 We start with the description of permutation groups in ''polymake''. An object of type [[https://polymake.org/release_docs/latest/group.html#group__Group__5 | Group]] records the abstract properties of the groups that do not depend on any particular representation, which essentially are just the ''ORDER'', ''CHARACTER_TABLE'', and ''CONJUGACY_CLASS_SIZES''. Moreover, a ''Group'' object can contain several subobjects that encode actions (representations) of the group, most notably a ''PERMUTATION_ACTION'' that encodes permutations of indices. If the Group object is contained inside a ''Cone'', ''Polytope'', ''PointConfiguration'', or ''VectorConfiguration'', it may be encoded more specifically as a ''RAY_ACTION'', ''FACET_ACTION'', etc. See the [[https://polymake.org/doku.php/release_docs/latest/group.html | documentation]] for more information on the action types. We start with the description of permutation groups in ''polymake''. An object of type [[https://polymake.org/release_docs/latest/group.html#group__Group__5 | Group]] records the abstract properties of the groups that do not depend on any particular representation, which essentially are just the ''ORDER'', ''CHARACTER_TABLE'', and ''CONJUGACY_CLASS_SIZES''. Moreover, a ''Group'' object can contain several subobjects that encode actions (representations) of the group, most notably a ''PERMUTATION_ACTION'' that encodes permutations of indices. If the Group object is contained inside a ''Cone'', ''Polytope'', ''PointConfiguration'', or ''VectorConfiguration'', it may be encoded more specifically as a ''RAY_ACTION'', ''FACET_ACTION'', etc. See the [[https://polymake.org/doku.php/release_docs/latest/group.html | documentation]] for more information on the action types.
  
-In order to access the complete set of functions dealing with groups, you should switch to the corresponding [[howto/lingo# application| application]].+In order to access the complete set of functions dealing with groups, you should switch to the corresponding [[user_guide:lingo# application| application]].
 <code> <code>
 > application "group"; > application "group";
  • user_guide/tutorials/apps_group.txt
  • Last modified: 2019/02/04 22:55
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