refactor(group_theory/abelianization): simplify abelianization #1126
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define group conjugates and normal closure
Presented groups are defined as a quotient of a free group by the normal subgroup the relations generate.
Presented groups are defined as a quotient of a free group by the normal subgroup the relations generate
Co-Authored-By: Keeley Hoek <keeley@hoek.io>
The commutator of a group was previously defined using lists. Now it is defined using `normal_closure`. This change simplifies some of the proofs
ChrisHughes24
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…rover-community#1126) * feat(group_theory/conjugates) : define conjugates define group conjugates and normal closure * feat(algebra/order_functions): generalize strict_mono.monotone (leanprover-community#1022) * trying to merge * feat(group_theory\presented_group): define presented groups Presented groups are defined as a quotient of a free group by the normal subgroup the relations generate. * feat(group_theory\presented_group): define presented groups Presented groups are defined as a quotient of a free group by the normal subgroup the relations generate * Update src/group_theory/presented_group.lean Co-Authored-By: Keeley Hoek <keeley@hoek.io> * Uniqueness of extension * Tidied up to_group.unique * Removed unnecessary line * Changed naming * refactor(group_theory/abelianization): simplify abelianization The commutator of a group was previously defined using lists. Now it is defined using `normal_closure`. This change simplifies some of the proofs
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TO CONTRIBUTORS:
Make sure you have:
I changed
group_theory/abelianizationto usenormal_closure. This makes the proofs shorter. I mentioned these changes to @kckennylau on Zulip https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/Abelianization.