Skip to content

Commit

Permalink
Initial description of Burnside rings
Browse files Browse the repository at this point in the history
  • Loading branch information
Newtech66 committed Aug 21, 2024
1 parent f7feea3 commit dccdfbf
Showing 1 changed file with 10 additions and 0 deletions.
10 changes: 10 additions & 0 deletions src/sage/rings/burnside.py
Original file line number Diff line number Diff line change
@@ -1,3 +1,13 @@
r"""
Burnside Rings
The Burnside ring of a finite group `G` is the ring of formal sums of conjugacy classes
of subgroups of `G`. Any transitive group action `G \times X \rightarrow X` is isomorphic
to a conjugacy class of subgroups of `G` by choosing a stabilizer subgroup of any
element in `X`. Therefore, the Burnside ring also encodes all possible group actions
of `G` on a finite set `X`.
"""

from sage.misc.cachefunc import cached_method
from sage.structure.parent import Parent
from sage.structure.element import Element
Expand Down

0 comments on commit dccdfbf

Please sign in to comment.