List questions from cyclic-decomposition

Published on 04 Mar 2023 - 15:45

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Exercise 15, Section 7.2 of Hoffman’s Linear Algebra

Published on 06 Mar 2023 - 11:27

80

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Exercise 16, Section 7.2 of Hoffman’s Linear Algebra

Published on 08 Mar 2023 - 17:30

105

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Nullity of nilpotent operator $N$ is related with cyclic decomposition of $N$

Published on 10 Mar 2023 - 20:19

46

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Is every subspace can be represented as T-cyclic for some T?

Published on 02 Aug 2023 - 18:15

34

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Show that $Z(v,f) \oplus Z(w,f) = Z(v+w, f)$ if minimal polynomials are coprime.

Published on 12 Feb 2024 - 20:32

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Prove or disprove: The minimum number of transpositions needed to decompose $\sigma$ is $n-S$.

Published on 15 Apr 2017 - 6:31

954

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How many permutations with $k$ cycles and $j$ fixed points are there?

Published on 17 Apr 2017 - 17:21

299

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Conjugation of permutations proof

Published on 29 Apr 2017 - 9:13

759

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(Average) Number of cycles of length m in permutations on N with k cycles

Published on 02 May 2017 - 1:07

232

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Permutation and cycles decomposition

Published on 08 May 2017 - 23:56

1.2k

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Alternating group $A_5$ has subgroup of order $6$ (group theory)

Published on 11 May 2017 - 17:07

216

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How to maximize 3-cycles in this graph type inspired by block design?

Published on 03 Jul 2017 - 10:15

60

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How could I describe homomorphisms from $C_m \rightarrow C_n$?

Published on 08 Aug 2017 - 20:02

98

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Partitioning a graph in cycles of four

Published on 22 Nov 2017 - 20:54

List Question

Exercise 13, Section 7.2 of Hoffman’s Linear Algebra

Exercise 15, Section 7.2 of Hoffman’s Linear Algebra

Exercise 16, Section 7.2 of Hoffman’s Linear Algebra

Nullity of nilpotent operator $N$ is related with cyclic decomposition of $N$

Is every subspace can be represented as T-cyclic for some T?

Show that $Z(v,f) \oplus Z(w,f) = Z(v+w, f)$ if minimal polynomials are coprime.

Prove or disprove: The minimum number of transpositions needed to decompose $\sigma$ is $n-S$.

How many permutations with $k$ cycles and $j$ fixed points are there?

Conjugation of permutations proof

(Average) Number of cycles of length m in permutations on N with k cycles

Permutation and cycles decomposition

Alternating group $A_5$ has subgroup of order $6$ (group theory)

How to maximize 3-cycles in this graph type inspired by block design?

How could I describe homomorphisms from $C_m \rightarrow C_n$?

Partitioning a graph in cycles of four

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