'Normal subgroups' diaporamas de présentation

MA5209 Algebraic Topology

Lecture 5. Simplicial Homology (18, 29 September, 2, 13, 16, 20, 23 October 2009). MA5209 Algebraic Topology. Wayne Lawton Department of Mathematics National University of Singapore S14-04-04, matwml@nus.edu.sg http://math.nus.edu.sg/~matwml. A differential group is an abelian group .

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Chapter 9: Normal Subgroups and Factor Groups

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Garis-garis Besar Perkuliahan

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Math 3121 Abstract Algebra I

Math 3121 Abstract Algebra I. Lecture 12 Finish Section 14 Review. Next Midterm. Midterm 2 is Nov 13. Covers sections: 7-14 (not 12) Review on Thursday. Cosets of a Homomorphism.

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Simple & Solvable Groups (12/2)

Simple & Solvable Groups (12/2). We assume that our groups are finite. Definition. A group G is called simple if it contains no proper non-trivial normal subgroups. Theorem. An abelian group G is simple if and only if ____________________________.

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Questions on Normal Subgroups and Factor Groups (11/13)

Questions on Normal Subgroups and Factor Groups (11/13). Let G be a group and let H be a subgroup of G. If H is normal in G , then for every a ? G and h ? H , aha -1 = h. A. True B. False If H is normal in G , then for every a ? G and h ? H , aha -1 ? H.

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