List questions from symmetric-groups

Published on 21 Jan 2017 - 11:00

855

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Can an irreducible representation be unfaithful?

Published on 24 Jan 2017 - 3:50

122

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How to embed $S_{n-1}$ into $S_n$ in $n$ ways?

Published on 26 Jan 2017 - 15:52

57

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$f:\mathbb{Z}^2\rightarrow S_6$ is a homomorphism such that $f(1,0)=(1\ 2\ 3\ 4\ 5\ 6)$. Find $f(0,1)$.

Published on 28 Jan 2017 - 21:58

86

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Reduced word labeling of Bruhat Order

Published on 25 Mar 2026 - 14:22

2k

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The number of transpositions in Symmetric group is $n(n-1)/2$

Published on 31 Jan 2017 - 0:51

231

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Dimension of an invariant subspace

Published on 31 Jan 2017 - 9:30

30

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Symmetric groups

Published on 31 Jan 2017 - 14:27

1.6k

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Is there an isomorphism between A4 and D6?

Published on 31 Jan 2017 - 14:29

54

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solution to $X^3=(1,2,3)$

Published on 04 Feb 2017 - 5:39

275

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Does the signature of a permutation depend only on the number of transpositions? (confusion about identity permutation)

Published on 04 Feb 2017 - 13:47

82

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Is $SB_{4}$ subgroup of symmetric group $S_{4}$?

Published on 09 Feb 2017 - 8:37

2.3k

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Finding elements of a cyclic set $S_{10}$ and and their orders

Published on 11 Feb 2017 - 1:28

2.4k

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Let σ= (1 2) (3 4 5) and τ= (1 2 3 4 5 6 ) be permutations in $S_6$.Which of the following statements are true?

Published on 11 Feb 2017 - 9:16

147

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Find the number of elements of order $15$ in $S_{13}$?

Published on 13 Feb 2017 - 5:53

List Question

existence of a subset of the symmetric group with a special property

Can an irreducible representation be unfaithful?

How to embed $S_{n-1}$ into $S_n$ in $n$ ways?

$f:\mathbb{Z}^2\rightarrow S_6$ is a homomorphism such that $f(1,0)=(1\ 2\ 3\ 4\ 5\ 6)$. Find $f(0,1)$.

Reduced word labeling of Bruhat Order

The number of transpositions in Symmetric group is $n(n-1)/2$

Dimension of an invariant subspace

Symmetric groups

Is there an isomorphism between A4 and D6?

solution to $X^3=(1,2,3)$

Does the signature of a permutation depend only on the number of transpositions? (confusion about identity permutation)

Is $SB_{4}$ subgroup of symmetric group $S_{4}$?

Finding elements of a cyclic set $S_{10}$ and and their orders

Let σ= (1 2) (3 4 5) and τ= (1 2 3 4 5 6 ) be permutations in $S_6$.Which of the following statements are true?

Find the number of elements of order $15$ in $S_{13}$?

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