Question

$(123)(456)$ and $(531)(264)$ are conjugate in $A_6$, and $(12345)(678)$ and$(43786)(215)$ are not conjugate in $A_8$.

score 826 · Answer 1 · 2017-10-07 08:41:06

826

Views

$(123)(456)$ and $(531)(264)$ are conjugate in $A_6$, and $(12345)(678)$ and$(43786)(215)$ are not conjugate in $A_8$.

Published on 07 Oct 2017 - 8:41

score 153 · Answer 2 · 2017-10-09 01:34:35

153

Views

Show that the normalizer of a Sylow $p$-subgroup contains a nonabelian group of order $pq$

Published on 09 Oct 2017 - 1:34

score 61 · Answer 3 · 2017-10-10 01:54:10

61

Views

Finding a subgroup $H \leq S_4$ such that a set $X$ is a coset by $H$.

Published on 10 Oct 2017 - 1:54

score 220 · Answer 4 · 2017-10-10 11:26:24

220

Views

Prove $a=(12345)$ and $b=(21345 )$ are NOT conjugate in $A_5$

Published on 10 Oct 2017 - 11:26

score 1.4k · Answer 5 · 2017-10-13 05:29:50

1.4k

Views

Subgroup of symmetries of a rectangle

Published on 13 Oct 2017 - 5:29

score 989 · Answer 6 · 2026-03-26 18:57:47

989

Views

Invariant subspaces under permutations

Published on 26 Mar 2026 - 18:57

score 1k · Answer 7 · 2017-10-16 14:14:15

1k

Views

Largest conjugacy class of $S_n$

Published on 16 Oct 2017 - 14:14

score 36 · Answer 8 · 2017-10-16 17:32:47

36

Views

Reflection in the integers

Published on 16 Oct 2017 - 17:32

score 286 · Answer 9 · 2017-10-16 19:46:00

286

Views

Homomorphic image of $S_{8}$

Published on 16 Oct 2017 - 19:46

score 269 · Answer 10 · 2017-10-16 20:19:21

269

Views

Order of a element on a Symmetric Group

Published on 16 Oct 2017 - 20:19

score 103 · Answer 11 · 2017-10-20 08:51:07

103

Views

Explicitly give the elements and structure of the group $S_n/A_n$, $n ≥ 5$.

Published on 20 Oct 2017 - 8:51

score 23 · Answer 12 · 2017-10-23 17:49:01

23

Views

Show that $S_n$ has elements of order $p^t \Longleftrightarrow n \geq p ^t$, being $n, t$ positive integers and $p$ a prime number.

Published on 23 Oct 2017 - 17:49

score 196 · Answer 13 · 2026-03-28 09:50:25

196

Views

Determine whether pairs of elements belong to the same left H-cosets

Published on 28 Mar 2026 - 9:50

score 97 · Answer 14 · 2017-10-26 01:29:04

97

Views

Viewing Logical Statements and logical connectives as Groups

Published on 26 Oct 2017 - 1:29

score 3.6k · Answer 15 · 2026-03-25 10:56:58

3.6k

Views

Symmetry group of Tetrahedron

Published on 25 Mar 2026 - 10:56

List Question

$(123)(456)$ and $(531)(264)$ are conjugate in $A_6$, and $(12345)(678)$ and$(43786)(215)$ are not conjugate in $A_8$.

Show that the normalizer of a Sylow $p$-subgroup contains a nonabelian group of order $pq$

Finding a subgroup $H \leq S_4$ such that a set $X$ is a coset by $H$.

Prove $a=(12345)$ and $b=(21345 )$ are NOT conjugate in $A_5$

Subgroup of symmetries of a rectangle

Invariant subspaces under permutations

Largest conjugacy class of $S_n$

Reflection in the integers

Homomorphic image of $S_{8}$

Order of a element on a Symmetric Group

Explicitly give the elements and structure of the group $S_n/A_n$, $n ≥ 5$.

Show that $S_n$ has elements of order $p^t \Longleftrightarrow n \geq p ^t$, being $n, t$ positive integers and $p$ a prime number.

Determine whether pairs of elements belong to the same left H-cosets

Viewing Logical Statements and logical connectives as Groups

Symmetry group of Tetrahedron

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