Generic LibGAP-based Group#
This is useful if you need to use a GAP group implementation in Sage that does not have a dedicated Sage interface.
If you want to implement your own group class, you should not derive
from this but directly from
ParentLibGAP
.
EXAMPLES:
sage: F.<a,b> = FreeGroup()
sage: G_gap = libgap.Group([ (a*b^2).gap() ])
sage: from sage.groups.libgap_group import GroupLibGAP
sage: G = GroupLibGAP(G_gap); G
Group([ a*b^2 ])
sage: type(G)
<class 'sage.groups.libgap_group.GroupLibGAP_with_category'>
sage: G.gens()
(a*b^2,)
>>> from sage.all import *
>>> F = FreeGroup(names=('a', 'b',)); (a, b,) = F._first_ngens(2)
>>> G_gap = libgap.Group([ (a*b**Integer(2)).gap() ])
>>> from sage.groups.libgap_group import GroupLibGAP
>>> G = GroupLibGAP(G_gap); G
Group([ a*b^2 ])
>>> type(G)
<class 'sage.groups.libgap_group.GroupLibGAP_with_category'>
>>> G.gens()
(a*b^2,)
- class sage.groups.libgap_group.GroupLibGAP(*args, **kwds)[source]#
Bases:
GroupMixinLibGAP
,Group
,ParentLibGAP
Group interface for LibGAP-based groups.
INPUT:
Same as
ParentLibGAP
.- Element[source]#
alias of
ElementLibGAP