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In mathematical finite group theory, Thompson's original uniqueness theorem states that in a minimal
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finite
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of odd order there is a unique maximal
subgroup In group theory, a branch of mathematics, given a group ''G'' under a binary operation ∗, a subset ''H'' of ''G'' is called a subgroup of ''G'' if ''H'' also forms a group under the operation ∗. More precisely, ''H'' is a subgrou ...
containing a given elementary abelian subgroup of
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 3. gave a shorter proof of the uniqueness theorem.


References

* * * Theorems about finite groups Uniqueness theorems {{abstract-algebra-stub