Group Theory MIT

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1、AlgebraMathNotes•StudyGuideGroupTheoryTableofContentsGroups.....................................................................................................................................................................3BinaryOperations......................................

2、.......................................................................................................................3Groups.........................................................................................................................................................

3、.....................3ExamplesofGroups.........................................................................................................................................................4CyclicGroups...........................................................................

4、........................................................................................5HomomorphismsandNormalSubgroups.........................................................................................................................5CosetsandQuotientGroups..............

5、..............................................................................................................................6IsomorphismTheorems.....................................................................................................................................

6、...............7ProductGroups................................................................................................................................................................8FiniteGroups.............................................................................

7、..............................................................................9PermutationsandG-sets..................................................................................................................................................9CombinatorialEquations..........

8、...............................................