Mathematics – Group Theory
Scientific paper
2003-12-17
Mathematics
Group Theory
6 pages
Scientific paper
Given a prime $p$ and a natural number $n$, we provide simple divisibility
criterions that determine whether all solvable group of order $n$ have a
nontrivial normal $p$-subgroup, or there is exactly one group of order $n$
without nontrivial normal $p$-subgroups.
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