i got no idea how a lattice diagram is made for Zn ... any ideas?

Question

terenzreignz · Answer

Like for subgroups?

amistre64 · Answer

yeah, im reading an abstract algebra book over the summer, and it mentions them in it

amistre64 · Answer

and maybe a klein group as well

terenzreignz · Answer

You'd lose me if we wanna make lattices of an arbitrary Zn.
Gist of it is... going up means union...
going down means intersection...
Take Z4, for instance...|dw:1367242188308:dw|
Which... looks too simple to illustrate... fail...
hang on :D

amistre64 · Answer

the verts are generators right?

terenzreignz · Answer

Let's look at a more interesting group... K4 :D

terenzreignz · Answer

verts?  no idea what those are (mercy!)

amistre64 · Answer

vertices of a graph, the places where the lines meet at

terenzreignz · Answer

|dw:1367242302201:dw|

terenzreignz · Answer

vertices are just groups... subgroups... maybe we could direct...|dw:1367242415216:dw|
such that if a group points to another, it is a subgroup of that (if that makes sense at all LOL)

terenzreignz · Answer

|dw:1367242473240:dw|