Question

«A cycle is a product of transpositions» $\iff$ «Rearrangement of $n$ objects is the same as successively interchanging pairs»

score 280 · Answer 1 · 2026-03-19 18:34:14

280

Views

«A cycle is a product of transpositions» $\iff$ «Rearrangement of $n$ objects is the same as successively interchanging pairs»

Published on 19 Mar 2026 - 18:34

score 116 · Answer 2 · 2026-03-19 18:40:29

116

Views

Clarification needed regarding why identity can be written only as a product of even number of 2-cycles

Published on 19 Mar 2026 - 18:40

score 1k · Answer 3 · 2026-03-22 08:57:30

1k

Views

Multiplication in permutation Group- cyclic

Published on 22 Mar 2026 - 8:57

score 239 · Answer 4 · 2026-03-20 11:03:19

239

Views

Rules for multiplying non-disjunctive permutation cycles

Published on 20 Mar 2026 - 11:03

score 474 · Answer 5 · 2026-03-22 05:35:10

474

Views

Find number of square permutations

Published on 22 Mar 2026 - 5:35

score 251 · Answer 6 · 2026-03-22 03:51:40

251

Views

Non-unique representation of permutations.

Published on 22 Mar 2026 - 3:51

score 584 · Answer 7 · 2026-03-20 02:22:56

584

Views

Why write permutations as disjoint cycles and transpositions?

Published on 20 Mar 2026 - 2:22

score 67 · Answer 8 · 2026-03-22 04:15:37

67

Views

Permutations with no common symbols

Published on 22 Mar 2026 - 4:15

score 377 · Answer 9 · 2026-03-19 23:57:04

377

Views

Number of ways of build a binary matrix with constraints

Published on 19 Mar 2026 - 23:57

score 1.2k · Answer 10 · 2026-03-20 15:51:43

1.2k

Views

How to show that $\mathbb{Z}_{12} $ is isomorphic to a subgroup of $S_7$?

Published on 20 Mar 2026 - 15:51

score 113 · Answer 11 · 2026-03-22 18:09:53

113

Views

Special subsets of Symmetric group $S_n$ from Barrington's theorem

Published on 22 Mar 2026 - 18:09

score 86 · Answer 12 · 2026-03-17 06:32:59

86

Views

How to solve $\beta^{-1}\pi^{2016}\beta = \alpha$ where $\alpha$, $\beta$ are given permutations

Published on 17 Mar 2026 - 6:32

score 677 · Answer 13 · 2026-03-22 08:28:30

677

Views

When do two permutations commute?

Published on 22 Mar 2026 - 8:28

score 44 · Answer 14 · 2026-03-23 01:32:04

44

Views

Commutativity of cycles in decomposition of commutative permutations

Published on 23 Mar 2026 - 1:32

score 47 · Answer 15 · 2026-03-22 17:38:19

47

Views

Unable to correctly get order of permutation.

Published on 22 Mar 2026 - 17:38

List Question

«A cycle is a product of transpositions» $\iff$ «Rearrangement of $n$ objects is the same as successively interchanging pairs»

Clarification needed regarding why identity can be written only as a product of even number of 2-cycles

Multiplication in permutation Group- cyclic

Rules for multiplying non-disjunctive permutation cycles

Find number of square permutations

Non-unique representation of permutations.

Why write permutations as disjoint cycles and transpositions?

Permutations with no common symbols

Number of ways of build a binary matrix with constraints

How to show that $\mathbb{Z}_{12} $ is isomorphic to a subgroup of $S_7$?

Special subsets of Symmetric group $S_n$ from Barrington's theorem

How to solve $\beta^{-1}\pi^{2016}\beta = \alpha$ where $\alpha$, $\beta$ are given permutations

When do two permutations commute?

Commutativity of cycles in decomposition of commutative permutations

Unable to correctly get order of permutation.

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