`GeneralizedConjugacyClasses`#1175

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JosephDayngerRuiz wants to merge 36 commits into

semigroups:mainfrom

JosephDayngerRuiz:generalizedconjugacyclasses

Commits on May 15, 2026

Reordering declaration and implementation of GeneralizedConjugacyClasses and GeneralizedConjugacyClassesRepresentatives to match the conceptual order they should be computed in.
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Conjugacy class can now remember the local group they are inside
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Implemented AsList for conjugacy classes
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I guess the last commit should say declared AsList. This commit implements AsList
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Getting ready to add GeneralizedConjugacyClass AsList example
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Added a test for AsList
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Change IsGeneralizedConjugacyClass category from IsObject to IsCollection
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Add Enumerator method for generalized conjugacy class
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Do not need to declare another AsList attribute on a category which is already a collection
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Updated tests
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Fix comparison logic for generalized conjugacy classes to return false for different semigroups
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Adding tests for code
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Missed a semicolon
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Tests
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Update tests for generalized conjugacy classes and clarify method status
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Tried to add action on conjugacy classes
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Added a paremeterized type to generalized conjugacy classes
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Reran test and the in function works
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Test to fail and attempt to make function application work
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Linting fix
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The code for doing the evaluation works. Needs to change it to \^ somehow
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Test need to be order agnostic of conjugacy classes and characters
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Called wrong value function
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Test to check converstion from composition factors to characters
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The in function was made and the change was implemented so the comment was removed
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Test which allows for order of conjugacy classes to change and order of irreduciables to change
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linting
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Condition to not compute as list for the idenity element. May be a common use case since this is the dimesion of the represenation
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Test specual use case of applying the character to the idenity
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Exp to ^ thanks to Meike
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Here is where I am going to start changin the name of monoidartanmatrix to cartanmatrix
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Refactoring
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Removed the word monoid to vairable levels of success. Removed InstallOtherMethod by adding declare operation to \^
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The documentation really needs to be updated
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I found the last reference of monoidcharactertable
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Changed copyright year to finalized the this GAP day's project!
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