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Missing derived operations in Algebra.Structures.IsGroup/Algebra.Bundles.Raw.RawGroup #2268

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jamesmckinna opened this issue Jan 29, 2024 · 0 comments

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@jamesmckinna
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jamesmckinna commented Jan 29, 2024

  • (left- and right-; not sure which counts as which) conjugate(s) y ∙ x ∙ (y ⁻¹), (y ⁻¹) ∙ x ∙ y; (obviously interdefinable, but at the cost of having to repeatedly invoke ⁻¹-involutive)
  • (both flavours of) commutator y ∙ x ∙ (y ⁻¹) ∙ (x ⁻¹), (x ⁻¹) ∙ (y ⁻¹) ∙ x ∙ y; (ditto.)
  • Mal'cev operation(s) x ∙ (y ⁻¹) ∙ z;

where, in each case, we have to choose a suitable bracketing... Plus... properties?

Outstanding issue from #2252 , #2247 / #2251 : where should these new operations live?

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