Question

Am I setting up this proof correctly (show that the order of a cycle is equal to its length)?

score 40 · Answer 1 · 2026-03-27 07:17:20

40

Views

Am I setting up this proof correctly (show that the order of a cycle is equal to its length)?

Published on 27 Mar 2026 - 7:17

score 32 · Answer 2 · 2026-03-27 08:57:07

32

Views

Is there a formula or algorithm to find directly the isotropy groups of a permutation group acting on itself by conjugacy ??

Published on 27 Mar 2026 - 8:57

score 52 · Answer 3 · 2026-03-28 03:03:05

52

Views

Two centerless subgroups $H, K$ of $S_3\boxtimes C_2$, each of order six, such that $HK$ is not centerless.

Published on 28 Mar 2026 - 3:03

score 482 · Answer 4 · 2026-03-31 08:09:30

482

Views

Why any permutation defines an automorphism?

Published on 31 Mar 2026 - 8:09

score 587 · Answer 5 · 2026-03-28 16:57:57

587

Views

Show that the subgroup of $S_4=\langle (12),(13)(24)\rangle$ is isomorphic to dihedral group of order $8$

Published on 28 Mar 2026 - 16:57

score 157 · Answer 6 · 2026-03-28 03:27:31

157

Views

Find the cosets of $D_{2n}$ in $S_n$

Published on 28 Mar 2026 - 3:27

score 312 · Answer 7 · 2020-10-25 11:36:28

312

Views

Classifying the representations of $G=\langle(123), (456), (23)(56) \rangle \subset S_6$.

Published on 25 Oct 2020 - 11:36

score 647 · Answer 8 · 2026-03-25 13:58:11

647

Views

What is the group of proper symmetries of a regular tetrahedron as a subgroup of $S_4$?

Published on 25 Mar 2026 - 13:58

score 77 · Answer 9 · 2026-03-28 04:42:48

77

Views

When is $G \subset S_{2n}$ isomorphic to $S_m \times \Bbb Z/2\Bbb Z$?

Published on 28 Mar 2026 - 4:42

score 226 · Answer 10 · 2020-11-01 09:30:54

226

Views

Isomorphism type of order 16 subgroup of $S_6$

Published on 01 Nov 2020 - 9:30

score 138 · Answer 11 · 2020-11-02 13:08:23

138

Views

Doubts in $\Bbb Z_2 \times \Bbb Z_2$

Published on 02 Nov 2020 - 13:08

score 153 · Answer 12 · 2020-11-03 08:42:40

153

Views

proof $S_n$ has no subgroup of order $ \frac {n!}{4}$

Published on 03 Nov 2020 - 8:42

score 717 · Answer 13 · 2026-03-28 20:59:22

717

Views

Is $D_8$ a normal subgroup of $S_4$?

Published on 28 Mar 2026 - 20:59

score 34 · Answer 14 · 2020-11-06 06:38:16

34

Views

Symmetry group 3 and writing elements in terms of each other

Published on 06 Nov 2020 - 6:38

score 169 · Answer 15 · 2026-04-03 06:52:53

169

Views

Homomorphism from $S_3$ to ($\mathbb{Q},+)$

Published on 03 Apr 2026 - 6:52

List Question

Am I setting up this proof correctly (show that the order of a cycle is equal to its length)?

Is there a formula or algorithm to find directly the isotropy groups of a permutation group acting on itself by conjugacy ??

Two centerless subgroups $H, K$ of $S_3\boxtimes C_2$, each of order six, such that $HK$ is not centerless.

Why any permutation defines an automorphism?

Show that the subgroup of $S_4=\langle (12),(13)(24)\rangle$ is isomorphic to dihedral group of order $8$

Find the cosets of $D_{2n}$ in $S_n$

Classifying the representations of $G=\langle(123), (456), (23)(56) \rangle \subset S_6$.

What is the group of proper symmetries of a regular tetrahedron as a subgroup of $S_4$?

When is $G \subset S_{2n}$ isomorphic to $S_m \times \Bbb Z/2\Bbb Z$?

Isomorphism type of order 16 subgroup of $S_6$

Doubts in $\Bbb Z_2 \times \Bbb Z_2$

proof $S_n$ has no subgroup of order $ \frac {n!}{4}$

Is $D_8$ a normal subgroup of $S_4$?

Symmetry group 3 and writing elements in terms of each other

Homomorphism from $S_3$ to ($\mathbb{Q},+)$

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