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2005-09-18, 09:12
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#1 |
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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. |
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2005-09-18, 13:48
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#2 | |
"Bob Silverman"
Nov 2003
North of Boston
24·32·53 Posts |
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' |
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2005-10-04, 09:14
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#3 |
Mar 2003
New Zealand
100100001012 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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