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Old 2005-09-18, 09:12   #1
DSC
 
Aug 2005

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Default 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.
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Old 2005-09-18, 13:48   #2
R.D. Silverman
 
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Nov 2003

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Quote:
Originally Posted by 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.

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'
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Old 2005-10-04, 09:14   #3
geoff
 
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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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