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feat(group_theory/presented_group): define presented groups#1118
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mergify[bot] merged 13 commits intoleanprover-community:masterfrom Jun 10, 2019
Michael-Howes:master
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feat(group_theory/presented_group): define presented groups#1118mergify[bot] merged 13 commits intoleanprover-community:masterfrom Michael-Howes:master
mergify[bot] merged 13 commits intoleanprover-community:masterfrom
Michael-Howes:master
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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
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(mergify uses the title for the commit message, I think) |
kim-em
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This isn't the entirety of the universal property. We also need the (easy) fact that the extension is unique (amongst homomorphisms sending the generators to the specified places).
khoek
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Can we also complete the UMP by defining the map of : α -> presented_group rels and the proof that to_group f (of a) = f a
Co-Authored-By: Keeley Hoek <keeley@hoek.io>
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I've now added the definition of |
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A few minor comments about names.
sgouezel
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Jun 8, 2019
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Jun 10, 2019
butterthebuddha
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May 15, 2020
…er-community#1118) * 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
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