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Results tagged with gr.group-theory
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user 9300
Questions about the branch of algebra that deals with groups.
3
votes
Number of Subgroups of p-Groups
Wrong for groups of order $3^4$ or $5^4$.
Here is Magma code (can be tested in http://magma.maths.usyd.edu.au/calc/ ):
p := 5;
a := 5;
ord := p^a;
n := NumberOfSmallGroups(ord);
for i in [1..n] …
- 1,407
19
votes
1
answer
634
views
Group rings isomorphic over $\mathbf{F}_p$, but not over $\mathbf{Z}_p$?
Suppose given a prime $p$.
Question: Do there exist finite groups $G$ and $H$ such that ${\bf F}_p G$ is isomorphic to ${\bf F}_p H$, but such that ${\bf Z}_p G$ is not isomorphic to ${\bf Z}_p H$ ?
…
- 1,407