Question

Generating a finite group with a subset of more than $\frac{1}{p}$ elements

score 56 · Answer 1 · 2026-04-14 21:56:12

56

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Generating a finite group with a subset of more than $\frac{1}{p}$ elements

Published on 14 Apr 2026 - 21:56

score 311 · Answer 2 · 2026-04-13 23:59:06

311

Views

A consequence of Dedekind's independence theorem

Published on 13 Apr 2026 - 23:59

score 178 · Answer 3 · 2026-04-15 09:26:29

178

Views

Conjugacy classes and Centers

Published on 15 Apr 2026 - 9:26

score 285 · Answer 4 · 2026-04-16 07:03:15

Suppose R and S are commutative rings with unity. Let $\varphi : R \rightarrow S$ be a ring isomorphism. Prove that R is a field iff S is a field.

score 882 · Answer 5 · 2026-04-15 21:08:20

882

Views

Prove that if a permutation $f \in A_n$ contains an independent cycle of even length then $f$ commutes with an odd permutation

Published on 15 Apr 2026 - 21:08

score 680 · Answer 6 · 2026-04-14 19:30:26

680

Views

Submodule example

Published on 14 Apr 2026 - 19:30

score 53 · Answer 7 · 2026-04-13 06:21:40

53

Views

Proofs with $\overline{a}=\overline{-a}$ in $\mathbb{Z}/n\mathbb{Z}$

Published on 13 Apr 2026 - 6:21

score 226 · Answer 8 · 2026-04-18 17:08:29

226

Views

Degree of sub sheaf of locally free sheaf is bounded

Published on 18 Apr 2026 - 17:08

score 53 · Answer 9 · 2026-04-15 00:52:24

53

Views

For ideals in a commutative ring, $((\hat{a} : \hat{b}) : \hat{c}) = (\hat{a}: \hat{b}\hat{c})$.

Published on 15 Apr 2026 - 0:52

score 41 · Answer 10 · 2026-04-15 12:32:13

41

Views

$ g (\cap_{i \in I} H_i )g^{-1} = \cap_{i \in I} g H_i g^{-1} $

Published on 15 Apr 2026 - 12:32

score 47 · Answer 11 · 2026-04-11 02:08:52

47

Views

The question is to find the equation in $s$ that expresses this equality. Artin's book problem

Published on 11 Apr 2026 - 2:08

score 309 · Answer 12 · 2026-04-22 22:19:03

309

Views

How to show that elements in these groups pairwise commute?

Published on 22 Apr 2026 - 22:19

score 309 · Answer 13 · 2026-04-13 01:30:49

309

Views

Group homomorphism between free groups

Published on 13 Apr 2026 - 1:30

score 961 · Answer 14 · 2026-04-13 17:42:15

961

Views

Linear congruential generator maximum cycle length.

Published on 13 Apr 2026 - 17:42

score 106 · Answer 15 · 2026-04-14 08:17:13

106

Views

What is the arithmetic rule to merge a cycle and a non disjoint transposition?

Published on 14 Apr 2026 - 8:17

List Question

Generating a finite group with a subset of more than $\frac{1}{p}$ elements

A consequence of Dedekind's independence theorem

Conjugacy classes and Centers

Suppose R and S are commutative rings with unity. Let $\varphi : R \rightarrow S$ be a ring isomorphism. Prove that R is a field iff S is a field.

Prove that if a permutation $f \in A_n$ contains an independent cycle of even length then $f$ commutes with an odd permutation

Submodule example

Proofs with $\overline{a}=\overline{-a}$ in $\mathbb{Z}/n\mathbb{Z}$

Degree of sub sheaf of locally free sheaf is bounded

For ideals in a commutative ring, $((\hat{a} : \hat{b}) : \hat{c}) = (\hat{a}: \hat{b}\hat{c})$.

$ g (\cap_{i \in I} H_i )g^{-1} = \cap_{i \in I} g H_i g^{-1} $

The question is to find the equation in $s$ that expresses this equality. Artin's book problem

How to show that elements in these groups pairwise commute?

Group homomorphism between free groups

Linear congruential generator maximum cycle length.

What is the arithmetic rule to merge a cycle and a non disjoint transposition?

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