Easy question. How do I find the subgroups of ?

Printable View

- Oct 8th 2011, 04:12 PMdwsmithD8 subgroups
Easy question. How do I find the subgroups of ?

- Oct 8th 2011, 04:42 PMBernhardRe: D8 subgroups
See Deveno's posts in answer to my post "Normal Subgroups in D4 "

Peter - Oct 8th 2011, 04:52 PMdwsmithRe: D8 subgroups
- Oct 8th 2011, 04:57 PMBernhardRe: D8 subgroups
Sorry.

I was too quick in referrring you to my post - I was looking for**normal**subgroups only.

Peter - Oct 8th 2011, 05:07 PMdwsmithRe: D8 subgroups
- Oct 8th 2011, 06:03 PMBernhardRe: D8 subgroups
Yes, but I think there may be others of order 2 such as <s> = {s, e} and <sr> = {sr, e}

Do you agree?

Peter - Oct 8th 2011, 06:13 PMdwsmithRe: D8 subgroups
- Oct 8th 2011, 06:36 PMBernhardRe: D8 subgroups
Just by checking the subgroups generated by the elements concerned - no smart method - just working through the elements of the group checking the subgroups generated by each element. If the group concerned was very much bigger you would have to be more analytic I guess.

Another possibility is < > = {e, } and of course there is {e}.

Peter