Question

Cayley graph of a quotient

score 171 · Answer 1 · 2026-04-06 07:24:37

171

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Cayley graph of a quotient

Published on 06 Apr 2026 - 7:24

score 96 · Answer 2 · 2026-03-26 04:52:35

96

Views

Clarifying a definition of cycles

Published on 26 Mar 2026 - 4:52

score 40 · Answer 3 · 2026-03-26 03:12:41

40

Views

Product of disjoint cycles agrees with each factor on its support

Published on 26 Mar 2026 - 3:12

score 135 · Answer 4 · 2026-04-11 09:19:40

135

Views

Zassenhaus's theorem on sharply 3-transitive groups

Published on 11 Apr 2026 - 9:19

score 63 · Answer 5 · 2026-03-25 19:10:41

63

Views

Why does $\langle \bar a \rangle \cap \overline K = \{\bar e \}$?

Published on 25 Mar 2026 - 19:10

score 380 · Answer 6 · 2026-04-10 13:57:43

380

Views

Uniqueness in the Fundamental Theorem of Finite Abelian Groups

Published on 10 Apr 2026 - 13:57

score 211 · Answer 7 · 2019-11-29 14:34:54

211

Views

Maschke's theorem and possible generalization?

Published on 29 Nov 2019 - 14:34

score 53 · Answer 8 · 2026-03-27 04:38:09

53

Views

If $\langle a \rangle \unlhd \langle a,b \rangle$ and $a,b$ have finite order, then $\langle a, b \rangle$ is finite.

Published on 27 Mar 2026 - 4:38

score 233 · Answer 9 · 2026-03-28 11:34:23

233

Views

Conjugacy class of transpositions of a finite set $E$

Published on 28 Mar 2026 - 11:34

score 140 · Answer 10 · 2026-03-26 23:10:57

140

Views

Prob. 44, Sec. 8, in Fraleigh's A FIRST COURSE IN ABSTRACT ALGEBRA, 7th ed: Symmetries of a regular plane $n$-gon

Published on 26 Mar 2026 - 23:10

score 39 · Answer 11 · 2026-03-28 11:35:21

39

Views

Action of $\mathfrak{S}_n$ on the additive group of mappings from $\mathbb{Z}^{[1,n]}$ to $\mathbb{Z}$ and inversions of elements of $\mathfrak{S}_n$

Published on 28 Mar 2026 - 11:35

score 51 · Answer 12 · 2026-03-30 04:56:40

51

Views

Finite abelian groups as direct products of proper characteristic subgroups

Published on 30 Mar 2026 - 4:56

score 37 · Answer 13 · 2026-04-11 08:38:48

37

Views

Set description of the group generated by a family of transpositions

Published on 11 Apr 2026 - 8:38

score 1.3k · Answer 14 · 2019-12-01 00:23:49

1.3k

Views

Let $G$ be a group of order $n$ and $m$ be relatively prime to $n$; given that $g^m=e$, show that $g$ is an identity element.

Published on 01 Dec 2019 - 0:23

score 75 · Answer 15 · 2026-03-25 23:42:27

75

Views

Find a group $G$ and elements $x,y,z ∈ G$ so that $|x|= 5$, $|y| = |z| = 7$, and $|xy| = 35$ but $|xz| ≠ 35$.

Published on 25 Mar 2026 - 23:42

List Question

Cayley graph of a quotient

Clarifying a definition of cycles

Product of disjoint cycles agrees with each factor on its support

Zassenhaus's theorem on sharply 3-transitive groups

Why does $\langle \bar a \rangle \cap \overline K = \{\bar e \}$?

Uniqueness in the Fundamental Theorem of Finite Abelian Groups

Maschke's theorem and possible generalization?

If $\langle a \rangle \unlhd \langle a,b \rangle$ and $a,b$ have finite order, then $\langle a, b \rangle$ is finite.

Conjugacy class of transpositions of a finite set $E$

Prob. 44, Sec. 8, in Fraleigh's A FIRST COURSE IN ABSTRACT ALGEBRA, 7th ed: Symmetries of a regular plane $n$-gon

Action of $\mathfrak{S}_n$ on the additive group of mappings from $\mathbb{Z}^{[1,n]}$ to $\mathbb{Z}$ and inversions of elements of $\mathfrak{S}_n$

Finite abelian groups as direct products of proper characteristic subgroups

Set description of the group generated by a family of transpositions

Let $G$ be a group of order $n$ and $m$ be relatively prime to $n$; given that $g^m=e$, show that $g$ is an identity element.

Find a group $G$ and elements $x,y,z ∈ G$ so that $|x|= 5$, $|y| = |z| = 7$, and $|xy| = 35$ but $|xz| ≠ 35$.

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