List questions from permutation-cycles

Published on 11 Apr 2026 - 1:01

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Prove or disprove: $S_{10} = \langle (1,3),(1,2, ... ,10) \rangle$

Published on 10 May 2026 - 18:43

524

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Prove that a permutation is a $p$-cycle

Published on 16 Apr 2026 - 18:50

557

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Permutation of 6 girls and 15 boys in a circle following a specific rule

Published on 13 Apr 2026 - 22:05

81

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Finding the automorphism group of a graph

Published on 12 Apr 2026 - 17:53

1.8k

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Presentations of subgroups of S6 as permutations

Published on 10 May 2026 - 15:29

295

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Possibilities for a certain subgroup of $S_n$.

Published on 15 Apr 2026 - 2:23

1.2k

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Composition of permutations in cycle notation

Published on 11 Apr 2026 - 9:01

1.3k

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number of permutation of S4 as product of two disjoint cycles each of length 2

Published on 14 Apr 2026 - 2:00

1.1k

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Compute the product of cycles that are permutations of $S_8$

Published on 16 Apr 2026 - 6:21

210

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Proving $\phi$ is a homomorphism and that the group G is simple.

Published on 10 May 2026 - 16:33

39

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Question regarding Symmetric group and induction

Published on 14 Apr 2026 - 5:36

54

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The permutation is given. For how many functions $f:\Bbb{N_{10}} \rightarrow \Bbb{N_{10}}$ are $f(\pi(i))=\pi(f(i))$?

Published on 16 Apr 2026 - 5:34

48

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Confused about composition of two permutation cycles

Published on 15 Apr 2026 - 9:26

120

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Permutations in $S_9$ with length $4,3,2$.

Published on 14 Apr 2026 - 18:52

List Question

How to get an expression for this isomorphism

Prove or disprove: $S_{10} = \langle (1,3),(1,2, ... ,10) \rangle$

Prove that a permutation is a $p$-cycle

Permutation of 6 girls and 15 boys in a circle following a specific rule

Finding the automorphism group of a graph

Presentations of subgroups of S6 as permutations

Possibilities for a certain subgroup of $S_n$.

Composition of permutations in cycle notation

number of permutation of S4 as product of two disjoint cycles each of length 2

Compute the product of cycles that are permutations of $S_8$

Proving $\phi$ is a homomorphism and that the group G is simple.

Question regarding Symmetric group and induction

The permutation is given. For how many functions $f:\Bbb{N_{10}} \rightarrow \Bbb{N_{10}}$ are $f(\pi(i))=\pi(f(i))$?

Confused about composition of two permutation cycles

Permutations in $S_9$ with length $4,3,2$.

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