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DSC 2005-09-18 09:12

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.

R.D. Silverman 2005-09-18 13:48

[QUOTE=DSC]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.[/QUOTE]


I trust that you really mean Zp^n and not GF(p^n).

The integers co-prime to p^n form a multiplicative group mod p^n.
The integers mod (say) p^n-1 do not form a group mod p^n.

I don't understand what you mean by "sub-group lattice'

geoff 2005-10-04 09:14

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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