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Calculate Smith normal form, cyclic group decomposition

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#linear-algebra #abstract-algebra #cyclic-groups #cyclic-decomposition #smith-normal-form
265
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How to find the cyclic vectors when finding the Rational form of a given matrix?

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#linear-algebra #matrices #linear-transformations #cyclic-decomposition #primary-decomposition
359
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Express a quotient of a free abelian group as a direct sum of cyclic groups

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#group-theory #abelian-groups #cyclic-groups #cyclic-decomposition
361
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Structure Theorem for finitely generated Modules over a PID, Decomposing an Example Problem and finding Bases

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#abstract-algebra #cyclic-decomposition #smith-normal-form
129
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Relation between $G$-orbits and Cycle Decomposition of a Permutaion.

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#permutations #group-actions #cyclic-decomposition
81
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How to solve $\beta^{-1}\pi^{2016}\beta = \alpha$ where $\alpha$, $\beta$ are given permutations

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#discrete-mathematics #permutations #cyclic-decomposition #permutation-cycles
438
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Cyclic basis for an eigenspace

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#linear-algebra #linear-transformations #cyclic-decomposition
238
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Is the cyclic vector for companion matrix independent of the specific companion matrix under consideration?

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#linear-algebra #matrices #cyclic-decomposition #companion-matrices
83
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Can we characterize the set formed by cyclic vectors of a companion matrix?

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#linear-algebra #general-topology #cyclic-decomposition
649
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Order of a permutation in $S_n$

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#abstract-algebra #permutations #cyclic-decomposition
112
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Need help understanding a step in a proof about modules over PIDs

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#modules #principal-ideal-domains #finitely-generated #cyclic-decomposition
396
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Relation between Jordan normal form and cyclic module decomposition

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#linear-algebra #abstract-algebra #vector-spaces #modules #cyclic-decomposition
44
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Determining the Cyclic Decomposition of a Finitely Generated Abelian Group given a set of relations.

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#abelian-groups #group-presentation #finitely-generated #cyclic-decomposition
98
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Decomposition of Cycles (Group Theory Mapping)

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#linear-algebra #group-theory #permutations #cyclic-decomposition
65
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Can this diagonal system be solved by modifying it to the $Ax=B$ form?

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#linear-algebra #systems-of-equations #tridiagonal-matrices #cyclic-decomposition

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