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Questions on group theory which concern finite groups.

2 votes

Is there order to the number of groups of different orders?

The most general statement that I have seen is due to Holder and gives the following result: if $n$ is squarefree, and if $f_p(n)$ is the number of primes $q$ with $q \mid n$ and $p \mid q-1$, then th …
15 votes

Does the hypergraph structure of the set of subgroups of a finite group characterize isomorp...

The modular group of order 16 and the group C8 x C2 have the same subgroup lattice. Does this provide a counterexample to what you are trying to prove? Reference: http://www.opensourcemath.org/gap/s …
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