## Find a group presentation for cyclic group of order n

Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 2.3 Exercise 2.3.17 Find a presentation for $Z_n $ with one generator. Solution: We have $Z_n = \langle x \ |\ x^n =...

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# Tagged: Group Presentation

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Find a group presentation for cyclic group of order n

Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 2.3 Exercise 2.3.17 Find a presentation for $Z_n $ with one generator. Solution: We have $Z_n = \langle x \ |\ x^n =...

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Find a presentation for the quaternion group

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Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 1.5 Exercise 1.5.3 Find a set of generators and relations for $Q_8$. Solution: Let $$X = \langle x, y \ |\ x^4 =...