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...Ma introduction to abstract algebra samirsiksek mathematicsinstitute universityofwarwick contents chapteri prologue i whoami ajollygoodread proofs acknowledgementsandcorrections chapterii algebraicreorientation ii sets binaryoperations vectoroperations operationsonpolynomials compositionoffunctions compositiontables commutativityandassociativity wherearetheproofs thequaternionicnumbersystem donotread chapteriii matrices readonyourown iii whatarematrices matrixoperations wheredomatricescomefrom howtothinkaboutmatrices whycolumnvectors multiplicative identity and inverse rotations chapteriv groups iv thedenitionofagroup first examples andnon abeliangroups symmetriesofasquare chapterv firsttheorems v gettingrelaxedaboutnotation additivenotation chaptervi moreexamplesofgroups vi matrixgroupsi congruenceclasses chaptervii ordersandlagrange stheorem vii theorderofanelement lagrange version chapterviii subgroups viii whatweretheyagain criterionforasubgroup rootsofunity matrixgroupsii differen...