Question

How to merge a $1$-cycle with an $n$-cycle

score 41 · Answer 1 · 2023-03-07 14:18:43

41

Views

How to merge a $1$-cycle with an $n$-cycle

Published on 07 Mar 2023 - 14:18

score 59 · Answer 2 · 2023-03-09 03:46:16

59

Views

How to decompose a permutation $fg$ into a product of disjoint cycles?

Published on 09 Mar 2023 - 3:46

score 62 · Answer 3 · 2023-03-09 04:41:35

62

Views

Quicker way to take a power of a permutation in cycles?

Published on 09 Mar 2023 - 4:41

score 97 · Answer 4 · 2023-03-09 05:25:52

97

Views

Listing all graph automorphisms from a set of generators (Bliss)?

Published on 09 Mar 2023 - 5:25

score 60 · Answer 5 · 2023-03-09 11:49:16

60

Views

Faster way to prove that two elements do not belong to the same H-coset?

Published on 09 Mar 2023 - 11:49

score 67 · Answer 6 · 2023-03-10 03:16:19

67

Views

Must two permutations in $S_n$ that only differ at two adjacent positions have different signs (i.e., one is even and one is odd)?

Published on 10 Mar 2023 - 3:16

score 68 · Answer 7 · 2023-03-13 22:57:47

68

Views

Ways to express the identity permutation as precisely $2r$ transpositions in $S_n$

Published on 13 Mar 2023 - 22:57

score 60 · Answer 8 · 2023-03-21 12:55:48

60

Views

How do i show that $(1, 4)\sigma (1, 4)^{−1}$ is not an element of $\langle \sigma \rangle$?

Published on 21 Mar 2023 - 12:55

score 105 · Answer 9 · 2026-02-24 17:18:00

105

Views

What is the largest order of an element in the group of permutations of $n$ objects?

Published on 24 Feb 2026 - 17:18

score 109 · Answer 10 · 2026-03-25 23:37:05

109

Views

Proof that sorting an array of n numbers requires n - c transpositions?

Published on 25 Mar 2026 - 23:37

score 83 · Answer 11 · 2023-04-14 08:24:12

83

Views

What is the effect of the composition $f ∘ g ∘ f^{−1}$ on g?

Published on 14 Apr 2023 - 8:24

score 105 · Answer 12 · 2023-04-15 22:35:25

105

Views

Python realization of permutation of 2 or more groups while keeping the ordering of the groups

Published on 15 Apr 2023 - 22:35

score 81 · Answer 13 · 2023-04-17 14:33:03

81

Views

Let $f:\{1,2,3...,10\}\to \mathbb{Z}$ be a function such that $|f(i)-i|=p,\forall i\in\{1,2,3,...,10\}$.If maximum value of $f(x)$ is $15$ then find

Published on 17 Apr 2023 - 14:33

score 101 · Answer 14 · 2023-04-24 15:10:40

101

Views

Prove that the image of an element $g \in G$ of order $k$ is a product of $n/k$ disjoint $k$-cycles in $S(G)$.

Published on 24 Apr 2023 - 15:10

score 36 · Answer 15 · 2023-04-25 17:09:05

36

Views

Equation with permutations.

Published on 25 Apr 2023 - 17:09

List Question

How to merge a $1$-cycle with an $n$-cycle

How to decompose a permutation $fg$ into a product of disjoint cycles?

Quicker way to take a power of a permutation in cycles?

Listing all graph automorphisms from a set of generators (Bliss)?

Faster way to prove that two elements do not belong to the same H-coset?

Must two permutations in $S_n$ that only differ at two adjacent positions have different signs (i.e., one is even and one is odd)?

Ways to express the identity permutation as precisely $2r$ transpositions in $S_n$

How do i show that $(1, 4)\sigma (1, 4)^{−1}$ is not an element of $\langle \sigma \rangle$?

What is the largest order of an element in the group of permutations of $n$ objects?

Proof that sorting an array of n numbers requires n - c transpositions?

What is the effect of the composition $f ∘ g ∘ f^{−1}$ on g?

Python realization of permutation of 2 or more groups while keeping the ordering of the groups

Let $f:\{1,2,3...,10\}\to \mathbb{Z}$ be a function such that $|f(i)-i|=p,\forall i\in\{1,2,3,...,10\}$.If maximum value of $f(x)$ is $15$ then find

Prove that the image of an element $g \in G$ of order $k$ is a product of $n/k$ disjoint $k$-cycles in $S(G)$.

Equation with permutations.

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