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doc(group_theory/sylow): update docstring to include card_eq_multipli…
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…city as a main result (#14354)

Sylow subgroups have been redefined to be maximal p-subgroups, instead of subgroups of cardinality `p^n` where `n` is the multiplicity of `p` in the cardinality of G. Sylow's first theorem basically proves that these two are equivalent. With the new definition the hard part of Sylow's first theorem is really proving the lemma `sylow.card_eq_multiplicity` and not proving the existence of a Sylow subgroup so I included it as a main result.
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ChrisHughes24 committed Sep 23, 2022
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Expand Up @@ -32,6 +32,8 @@ The Sylow theorems are the following results for every finite group `G` and ever
there exists a subgroup of `G` of order `pⁿ`.
* `is_p_group.exists_le_sylow`: A generalization of Sylow's first theorem:
Every `p`-subgroup is contained in a Sylow `p`-subgroup.
* `sylow.card_eq_multiplicity`: The cardinality of a Sylow group is `p ^ n`
where `n` is the multiplicity of `p` in the group order.
* `sylow_conjugate`: A generalization of Sylow's second theorem:
If the number of Sylow `p`-subgroups is finite, then all Sylow `p`-subgroups are conjugate.
* `card_sylow_modeq_one`: A generalization of Sylow's third theorem:
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