Question

Prove for $\sigma \in S_n$, $\sigma(a_1, … , a_n)\sigma^{-1}= (\sigma(a_1),…, \sigma(a_n))$

score 234 · Answer 1 · 2020-04-23 16:28:11

234

Views

Prove for $\sigma \in S_n$, $\sigma(a_1, … , a_n)\sigma^{-1}= (\sigma(a_1),…, \sigma(a_n))$

Published on 23 Apr 2020 - 16:28

score 52 · Answer 2 · 2020-04-24 13:41:21

52

Views

Find element of Group

Published on 24 Apr 2020 - 13:41

score 403 · Answer 3 · 2026-03-25 09:50:03

403

Views

Sum of Traces of all Permutations of a Matrix

Published on 25 Mar 2026 - 9:50

score 156 · Answer 4 · 2020-05-01 02:21:53

156

Views

Showing that $f(x) = 4x^2 - 3x^7$ is a pemutation in $\mathbb{Z}_{11}$ and factoring it as a product of disjoint cycles

Published on 01 May 2020 - 2:21

score 35 · Answer 5 · 2020-05-06 12:11:58

35

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Find a cylic subgroup of order $6$ inside $S_{5}$ . Find all the abelian subgroups of $S_{5}$ .

Published on 06 May 2020 - 12:11

score 159 · Answer 6 · 2020-05-06 19:57:46

159

Views

Number of Cycle in Permutations of 2D Grid

Published on 06 May 2020 - 19:57

score 73 · Answer 7 · 2020-05-08 19:53:18

73

Views

Let $G=\langle a,b\rangle$. Prove neither $\langle a\rangle$ nor $\langle b \rangle$ are normal in $G,$ for $a=(1234)(57), b=(24)(5678)$.

Published on 08 May 2020 - 19:53

score 756 · Answer 8 · 2020-05-10 16:03:59

756

Views

Solution verification: How many elements of order 3 are there in $S_5$

Published on 10 May 2020 - 16:03

score 76 · Answer 9 · 2026-03-23 13:40:16

76

Views

decide $\sigma^{2020}$

Published on 23 Mar 2026 - 13:40

score 34 · Answer 10 · 2020-05-13 15:18:36

34

Views

An Introduction to the Theory of Groups 1.13

Published on 13 May 2020 - 15:18

score 61 · Answer 11 · 2020-05-14 10:42:19

61

Views

What, if anything, do permutations have to do with order?

Published on 14 May 2020 - 10:42

score 51 · Answer 12 · 2020-05-17 04:11:02

51

Views

How does the cycle structure of an invertible linear map over $\Bbb Z/n\Bbb Z$ compare to its affine translations?

Published on 17 May 2020 - 4:11

score 25 · Answer 13 · 2020-05-22 15:10:13

25

Views

How an order of permutation can be defined?

Published on 22 May 2020 - 15:10

score 103 · Answer 14 · 2020-05-25 03:46:17

103

Views

is there any way to find the maximal length of cycle in a permutation group?

Published on 25 May 2020 - 3:46

score 148 · Answer 15 · 2026-03-26 01:02:08

148

Views

Analytic estimates of limit cycle parameters

Published on 26 Mar 2026 - 1:02

List Question

Prove for $\sigma \in S_n$, $\sigma(a_1, … , a_n)\sigma^{-1}= (\sigma(a_1),…, \sigma(a_n))$

Find element of Group

Sum of Traces of all Permutations of a Matrix

Showing that $f(x) = 4x^2 - 3x^7$ is a pemutation in $\mathbb{Z}_{11}$ and factoring it as a product of disjoint cycles

Find a cylic subgroup of order $6$ inside $S_{5}$ . Find all the abelian subgroups of $S_{5}$ .

Number of Cycle in Permutations of 2D Grid

Let $G=\langle a,b\rangle$. Prove neither $\langle a\rangle$ nor $\langle b \rangle$ are normal in $G,$ for $a=(1234)(57), b=(24)(5678)$.

Solution verification: How many elements of order 3 are there in $S_5$

decide $\sigma^{2020}$

An Introduction to the Theory of Groups 1.13

What, if anything, do permutations have to do with order?

How does the cycle structure of an invertible linear map over $\Bbb Z/n\Bbb Z$ compare to its affine translations?

How an order of permutation can be defined?

is there any way to find the maximal length of cycle in a permutation group?

Analytic estimates of limit cycle parameters

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