{"library":"passagemath-groups","title":"passagemath-groups","description":"passagemath-groups is a component of the passagemath environment providing group theory and invariant theory functionality, including permutation groups, matrix groups, and algebraic groups. It relies on GAP and libgap. Current version 10.8.4, requiring Python >=3.11 and <3.15. Release cadence follows passagemath releases, typically one or two per year.","language":"python","status":"active","last_verified":"Sat May 09","install":{"commands":["pip install passagemath-groups passagemath-sage"],"cli":null},"imports":["from sage.groups.perm_gps.permgroup import PermutationGroup","from sage.groups.perm_gps.permgroup_named import SymmetricGroup"],"auth":{"required":false,"env_vars":[]},"quickstart":{"code":"from sage.all import *\nfrom sage.groups.perm_gps.permgroup import PermutationGroup\nG = PermutationGroup([(1,2), (1,3,4)])\nprint(G.order())","lang":"python","description":"Create a permutation group on 4 points and compute its order.","tag":null,"tag_description":null,"last_tested":null,"results":[]},"compatibility":null}