Question

Terminology: Name of a permutation that consists of exactly a single cycle?

score 95 · Answer 1 · 2026-04-16 12:06:16

95

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Terminology: Name of a permutation that consists of exactly a single cycle?

Published on 16 Apr 2026 - 12:06

score 1.6k · Answer 2 · 2026-04-12 22:08:54

1.6k

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Order of the conjugacy class generated by a permutation.

Published on 12 Apr 2026 - 22:08

score 1.7k · Answer 3 · 2026-04-14 07:49:00

1.7k

Views

Total no. of six digit integers with the property that every succeeding digit is greater than the preceding digit?

Published on 14 Apr 2026 - 7:49

score 50 · Answer 4 · 2026-04-13 09:01:14

50

Views

Approaching Symmetric Groups-questions

Published on 13 Apr 2026 - 9:01

score 86 · Answer 5 · 2026-04-11 17:27:53

86

Views

how to show that there is a permutation that sends any two numbers to two consecutive numbers

Published on 11 Apr 2026 - 17:27

score 313 · Answer 6 · 2026-04-13 21:25:41

313

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The minimal number of permutation matrices

Published on 13 Apr 2026 - 21:25

score 1.1k · Answer 7 · 2026-04-17 13:35:41

1.1k

Views

Number of ways a 6-letter word contains at least 1 "a" and at least 1 "b, c, or d". Repeats are allowed.

Published on 17 Apr 2026 - 13:35

score 11.9k · Answer 8 · 2026-04-16 05:10:15

11.9k

Views

How many elements of order 5 are there in $S_7$

Published on 16 Apr 2026 - 5:10

score 60 · Answer 9 · 2026-04-16 09:04:39

60

Views

Show that $\{1, (1\quad3)(2\quad4), (1\quad4)(2\quad3),(1\quad2)(3\quad4)\}$ is a normal subgroup of $\mathrm{S}_4$

Published on 16 Apr 2026 - 9:04

score 224 · Answer 10 · 2026-04-09 20:11:36

224

Views

Classifying permutations in terms of their cycle notation

Published on 09 Apr 2026 - 20:11

score 128 · Answer 11 · 2026-04-16 03:08:10

128

Views

Highest order element in $S_5$

Published on 16 Apr 2026 - 3:08

score 467 · Answer 12 · 2026-04-14 08:29:47

467

Views

How many ways can I color 8 tiles with colors? (easy)

Published on 14 Apr 2026 - 8:29

score 1.7k · Answer 13 · 2026-04-08 23:37:39

1.7k

Views

Circular Permutations problem

Published on 08 Apr 2026 - 23:37

score 111 · Answer 14 · 2026-04-17 10:07:38

111

Views

minimum number of operations(+,-,*,/,%) to represent an integer from a list of digits [1,9]

Published on 17 Apr 2026 - 10:07

score 365 · Answer 15 · 2026-04-16 06:11:52

365

Views

Prove that for each $\phi \in S_n$, $\det A=\sum_{\sigma \in S_n}\mathrm{sgn}(\sigma)\prod_{j=1}^n a_{\phi(j)\sigma(j)}$

Published on 16 Apr 2026 - 6:11

List Question

Terminology: Name of a permutation that consists of exactly a single cycle?

Order of the conjugacy class generated by a permutation.

Total no. of six digit integers with the property that every succeeding digit is greater than the preceding digit?

Approaching Symmetric Groups-questions

how to show that there is a permutation that sends any two numbers to two consecutive numbers

The minimal number of permutation matrices

Number of ways a 6-letter word contains at least 1 "a" and at least 1 "b, c, or d". Repeats are allowed.

How many elements of order 5 are there in $S_7$

Show that $\{1, (1\quad3)(2\quad4), (1\quad4)(2\quad3),(1\quad2)(3\quad4)\}$ is a normal subgroup of $\mathrm{S}_4$

Classifying permutations in terms of their cycle notation

Highest order element in $S_5$

How many ways can I color 8 tiles with colors? (easy)

Circular Permutations problem

minimum number of operations(+,-,*,/,%) to represent an integer from a list of digits [1,9]

Prove that for each $\phi \in S_n$, $\det A=\sum_{\sigma \in S_n}\mathrm{sgn}(\sigma)\prod_{j=1}^n a_{\phi(j)\sigma(j)}$

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