20050918, 09:12  #1 
Aug 2005
7 Posts 
abstract algebra
please help me with this horrible problem anyone, thanks!
Determine the subgroup lattice for Zp^n, where p is prime and n is some positive integer. 
20050918, 13:48  #2  
"Bob Silverman"
Nov 2003
North of Boston
2^{4}·3^{2}·53 Posts 
Quote:
I trust that you really mean Zp^n and not GF(p^n). The integers coprime to p^n form a multiplicative group mod p^n. The integers mod (say) p^n1 do not form a group mod p^n. I don't understand what you mean by "subgroup lattice' 

20051004, 09:14  #3 
Mar 2003
New Zealand
10010000101_{2} Posts 
I think the subgroup lattice of a group G is the graph where the vertices are the subgroups of G and an edge joins H to K whenever K is a subgroup of H.

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