Question

What is the kernel of this map $\Phi: F_2 \to \mathbb{Z}_2 \oplus \mathbb{Z}_3$?

score 161 · Answer 1 · 2026-03-30 06:48:35

161

Views

What is the kernel of this map $\Phi: F_2 \to \mathbb{Z}_2 \oplus \mathbb{Z}_3$?

Published on 30 Mar 2026 - 6:48

score 56 · Answer 2 · 2026-03-26 21:35:31

56

Views

Explicit form of element in a link group

Published on 26 Mar 2026 - 21:35

score 138 · Answer 3 · 2026-03-25 17:36:50

138

Views

Normal subgroup of triangle group in GAP

Published on 25 Mar 2026 - 17:36

score 104 · Answer 4 · 2022-02-24 23:31:19

104

Views

Let $B$ be a finite subset of $A$ Show $B$ is in some cyclic subgroup of $A$

Published on 24 Feb 2022 - 23:31

score 53 · Answer 5 · 2026-03-26 12:40:59

53

Views

Dumb Question: Is My Group Polycyclic?

Published on 26 Mar 2026 - 12:40

score 209 · Answer 6 · 2022-03-06 17:50:52

209

Views

There is no natural isomorphism between torsion functor and identity

Published on 06 Mar 2022 - 17:50

score 23 · Answer 7 · 2026-03-30 06:50:13

23

Views

Question about a proposition about free groups, generators and relations. Is it true or false that $N=\ker\phi$ holds? Michael Artin "Algebra 1st Ed."

Published on 30 Mar 2026 - 6:50

score 47 · Answer 8 · 2026-03-30 06:47:39

47

Views

Is there any proof of $\#(F/N)=2n$ which doesn't use any group other than $F/N$ itself? (Michael Artin "Algebra 1st Edition")

Published on 30 Mar 2026 - 6:47

score 264 · Answer 9 · 2026-03-29 12:32:14

264

Views

Definition of finitely generated module versus finite type in category R-Mod

Published on 29 Mar 2026 - 12:32

score 54 · Answer 10 · 2026-03-30 06:50:10

54

Views

What is the most concise way to present a particular subgroup of $F_2$?

Published on 30 Mar 2026 - 6:50

score 150 · Answer 11 · 2022-03-22 08:25:49

150

Views

Minimal generating set in case of finite non-abelian groups

Published on 22 Mar 2022 - 8:25

score 252 · Answer 12 · 2026-03-28 13:21:17

252

Views

Suppose $G$ is group of order $p^k$ for $p$ prime and $k$ positive integer. Prove $G$ must contain an element with an order of $p$

Published on 28 Mar 2026 - 13:21

score 118 · Answer 13 · 2022-03-24 20:32:39

118

Views

Why are the direct summands obtained in the structure theorem for finitely generated modules over a PID indecomposable?

Published on 24 Mar 2022 - 20:32

score 126 · Answer 14 · 2026-03-28 07:41:33

126

Views

If a finitely generated semi-direct product $\mathbb{Z}$ acting on a non finitely generated group, can there be fixed points?

Published on 28 Mar 2026 - 7:41

score 62 · Answer 15 · 2026-03-28 07:38:32

62

Views

If $K\rtimes \mathbb{Z}$ is a finitely generated group but $K$ isn't, must the fixed points of $1_\mathbb{Z}$ be a finitely generated group?

Published on 28 Mar 2026 - 7:38

List Question

What is the kernel of this map $\Phi: F_2 \to \mathbb{Z}_2 \oplus \mathbb{Z}_3$?

Explicit form of element in a link group

Normal subgroup of triangle group in GAP

Let $B$ be a finite subset of $A$ Show $B$ is in some cyclic subgroup of $A$

Dumb Question: Is My Group Polycyclic?

There is no natural isomorphism between torsion functor and identity

Question about a proposition about free groups, generators and relations. Is it true or false that $N=\ker\phi$ holds? Michael Artin "Algebra 1st Ed."

Is there any proof of $\#(F/N)=2n$ which doesn't use any group other than $F/N$ itself? (Michael Artin "Algebra 1st Edition")

Definition of finitely generated module versus finite type in category R-Mod

What is the most concise way to present a particular subgroup of $F_2$?

Minimal generating set in case of finite non-abelian groups

Suppose $G$ is group of order $p^k$ for $p$ prime and $k$ positive integer. Prove $G$ must contain an element with an order of $p$

Why are the direct summands obtained in the structure theorem for finitely generated modules over a PID indecomposable?

If a finitely generated semi-direct product $\mathbb{Z}$ acting on a non finitely generated group, can there be fixed points?

If $K\rtimes \mathbb{Z}$ is a finitely generated group but $K$ isn't, must the fixed points of $1_\mathbb{Z}$ be a finitely generated group?

Trending Questions

Popular # Hahtags

Popular Questions