Question

The counit of an adjunction of the adjoint pair free and underlying functor

score 102 · Answer 1 · 2026-03-26 06:34:52

102

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The counit of an adjunction of the adjoint pair free and underlying functor

Published on 26 Mar 2026 - 6:34

score 313 · Answer 2 · 2020-03-18 17:35:36

313

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The Prüfer rank of an abelian group.

Published on 18 Mar 2020 - 17:35

score 461 · Answer 3 · 2020-03-20 10:19:45

461

Views

If $G$ is an abelian group, then inverse of $x$ is equal to $x$?

Published on 20 Mar 2020 - 10:19

score 54 · Answer 4 · 2020-03-20 15:20:21

54

Views

$a\mathbb{Z} +b\mathbb{Z} = \text{hcf}(a,b) \mathbb{Z}$

Published on 20 Mar 2020 - 15:20

score 48 · Answer 5 · 2026-03-28 00:50:19

48

Views

For which primes $l$ are the $l$-Sylow subgroups of $\Bbb Z_{p^3q} \times \Bbb Z_{p^2} \times \Bbb Z_{q^2r}$ cyclic?

Published on 28 Mar 2026 - 0:50

score 273 · Answer 6 · 2026-03-30 00:18:10

273

Views

Normal subgroups of k-transitive groups.

Published on 30 Mar 2026 - 0:18

score 372 · Answer 7 · 2026-03-28 02:42:53

372

Views

Prove that if $H$ and $K$ are Sylow $p$-subgroups, then $H=K$.

Published on 28 Mar 2026 - 2:42

score 2.5k · Answer 8 · 2026-03-30 03:04:17

2.5k

Views

Let $G$ be a finite abelian group and let $p$ be a prime that divides order of $G$. Then $G$ has at least an element of order $p$.

Published on 30 Mar 2026 - 3:04

score 224 · Answer 9 · 2020-04-01 04:12:27

224

Views

Proving g=xax is unique for group of odd order

Published on 01 Apr 2020 - 4:12

score 48 · Answer 10 · 2026-03-27 18:28:08

48

Views

How to show that any finite Abelian Group with a certain property is cyclic

Published on 27 Mar 2026 - 18:28

score 107 · Answer 11 · 2020-04-01 18:03:43

107

Views

Example additive functor which is neither right exact nor left exact.

Published on 01 Apr 2020 - 18:03

score 98 · Answer 12 · 2020-04-04 18:38:46

98

Views

Monomorphisms and epimorphisms in Ab

Published on 04 Apr 2020 - 18:38

score 1.5k · Answer 13 · 2020-04-05 23:08:57

1.5k

Views

Finding the elements with order $30$ in group $\mathbb Z^*_{31}$.

Published on 05 Apr 2020 - 23:08

score 114 · Answer 14 · 2026-03-28 07:50:21

114

Views

Finding homomorphism for a specific kernel

Published on 28 Mar 2026 - 7:50

score 184 · Answer 15 · 2026-03-26 01:25:16

184

Views

Homomorphisms from $\prod_{i\in\mathbb Z}\mathbb Z $ to $\oplus_{i\in\mathbb Z}\mathbb Z$ that fixes $\oplus_{i\in\mathbb Z}\mathbb Z$

Published on 26 Mar 2026 - 1:25

List Question

The counit of an adjunction of the adjoint pair free and underlying functor

The Prüfer rank of an abelian group.

If $G$ is an abelian group, then inverse of $x$ is equal to $x$?

$a\mathbb{Z} +b\mathbb{Z} = \text{hcf}(a,b) \mathbb{Z}$

For which primes $l$ are the $l$-Sylow subgroups of $\Bbb Z_{p^3q} \times \Bbb Z_{p^2} \times \Bbb Z_{q^2r}$ cyclic?

Normal subgroups of k-transitive groups.

Prove that if $H$ and $K$ are Sylow $p$-subgroups, then $H=K$.

Let $G$ be a finite abelian group and let $p$ be a prime that divides order of $G$. Then $G$ has at least an element of order $p$.

Proving g=xax is unique for group of odd order

How to show that any finite Abelian Group with a certain property is cyclic

Example additive functor which is neither right exact nor left exact.

Monomorphisms and epimorphisms in Ab

Finding the elements with order $30$ in group $\mathbb Z^*_{31}$.

Finding homomorphism for a specific kernel

Homomorphisms from $\prod_{i\in\mathbb Z}\mathbb Z $ to $\oplus_{i\in\mathbb Z}\mathbb Z$ that fixes $\oplus_{i\in\mathbb Z}\mathbb Z$

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