#13366: Add Semidihedral Groups and Split Metacyclic Groups as Permutation
Groups
----------------------------+-----------------------------------------------
Reporter: khalasz | Owner: joyner
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.3
Component: group theory | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Kevin Halasz
Merged in: | Dependencies:
Stopgaps: |
----------------------------+-----------------------------------------------
Adds two new families of groups to Sage's named permgroups database.
These are two families of p-groups notable for the fact that each group
contains a cyclic subgroup of index p.
The semidihedral groups are 2-groups which can be thought of as the
semidirect product of `C_2` with `C_2^{m-1}`, for some m, where `C_2` acts
on `C_2^{m-1}` by sending elements to their `-1+2^{m-2}` th power. It adds
new groups, not part of any other family of named permgroups, of order
`2^m` for each m greater than or equal to 4.
The splitmetcyclic groups are p-groups which can be thought of as the
semidirect product of `C_p` with `C_p^{m-1}`, for some m, where where
`C_p` acts on `C_p^{m-1}` by sending elements to their `1+p^{m-2}` th
power. It adds new groups of order `p^m`, for odd p and m greater than or
equal to 3, and new groups of order `2^m` for m greater than or equal to
4.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13366>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
