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Results tagged with p-groups
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user 23827
2
votes
Certain $p$-group with cyclic center
You seem to be saying that a finite $p$-group which has a non-normal subgroup must have a cyclic center. A counterexample when $p=2$ is the group $G=D_8\times C_2$ of order 16. Its center is $C_2\time …
- 1,991
2
votes
Richness of the subgroup structure of p-groups
The comment by Frieder Ladisch suggests to me that considering exponents may be relevant. Suppose that we generalize Stefan Kohl's function
$f_p(n)$ as follows:
Definition: Fix a prime $p$ and an exp …
- 1,991