Find a group presentation for cyclic group of order nLinearityAbstract 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.Compute presentations for a given central product of groupsFind a generating set for the augmentation ideal of a group ringBasic properties of the central product of groupsExhibit the distinct cyclic subgroups of an elementary abelian group of order $p^2$Unique group homomorphism from Z to any group where the image of 1 is fixedFind all generators of Z/(202)The powers of a group element of infinite order are pairwise distinctExhibit a group homomorphism from Z/(8) to Z/(4)Characterize the automorphisms of cyclic group of order nCharacterize the normalizer of a cyclic subgroup 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 Basic properties of the central product of groups October 4, 2020 If the group and an element have the same finite order then the group is cyclic May 25, 2020 Exhibit the distinct cyclic subgroups of an elementary abelian group of order $p^2$ October 4, 2020Leave a Reply Cancel reply Save my name, email, and website in this browser for the next time I comment.