Find a group presentation for cyclic group of order nLinearityMay 26, 2020Abstract Algebra Dummit Foote0 Comments Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 2.3 Exercise 2.3.17Find a presentation for $Z_n $ with one generator.Solution: We have $Z_n = \langle x \ |\ x^n = 1 \rangle $. You might also like.Exhibit a group homomorphism from Z/(8) to Z/(4)Characterize the automorphisms of cyclic group of order nCharacterize the normalizer of a cyclic subgroupThe group of units in $\mathbb Z/(2^n)$ is not cyclic for n at least 3Unique group homomorphism from Z to any group where the image of 1 is fixedGroup homomorphism from cyclic group is determined by the image of generatorProve that two given groups are nonisomorphicProve that a given group is not cyclicExhibit the cyclic subgroups of Dih(8) as setsCompute the order of a cyclic subgroup in Z/(54) Tags: Cyclic Group, Group PresentationContinue ReadingPrevious PostThe order of a product of commuting group elements divides the least common multiple of the orders of the elementsNext PostGroup homomorphism from cyclic group is determined by the image of generator Linearity This website is supposed to help you study Linear Algebras. Please only read these solutions after thinking about the problems carefully. Do not just copy these solutions. You Might Also Like Compute the order of a cyclic subgroup in Z/(54) May 26, 2020 Find the subgroup lattice of the cyclic group of order 48 May 25, 2020 The group of units in $\mathbb Z/(2^n)$ is not cyclic for n at least 3 May 28, 2020Leave a Reply Cancel reply Save my name, email, and website in this browser for the next time I comment.