Question

Let $G$ be a group. If there exists a positive integer $m$ such that $a^m=1$ for all $a\in G$, then is $G$ finite?

score 189 · Answer 1 · 2026-04-16 03:56:43

189

Views

Let $G$ be a group. If there exists a positive integer $m$ such that $a^m=1$ for all $a\in G$, then is $G$ finite?

Published on 16 Apr 2026 - 3:56

score 115 · Answer 2 · 2026-05-10 13:24:47

115

Views

In seek of a (counter)example

Published on 10 May 2026 - 13:24

score 7.5k · Answer 3 · 2026-05-10 14:57:02

7.5k

Views

Unexpected use of topology in proofs

Published on 10 May 2026 - 14:57

score 998 · Answer 4 · 2026-04-16 02:55:46

998

Views

Give an example of sets $X,Y$, subset $A,B \subseteq X$ and a function $f:X→Y$ such that $f[A \cap B ]$ $\neq$ $f[A] \cap [B]$

Published on 16 Apr 2026 - 2:55

score 595 · Answer 5 · 2026-05-11 06:58:48

595

Views

Measure of complement of union of nowhere dense set with positive measure

Published on 11 May 2026 - 6:58

score 50 · Answer 6 · 2026-04-16 15:36:14

50

Views

Elementary counterexample of 'Given $G$ group, $p | |G|$, there exists $H \leq G$ with$ [H:G] = p$?

Published on 16 Apr 2026 - 15:36

score 2.3k · Answer 7 · 2026-05-11 07:42:43

2.3k

Views

Is there Any Homomorphism Between Vector Spaces that is not Linear?

Published on 11 May 2026 - 7:42

score 51 · Answer 8 · 2026-04-13 17:29:38

51

Views

Chain complex of free $k[x.y]$ modules with strange homology group

Published on 13 Apr 2026 - 17:29

score 67 · Answer 9 · 2026-05-10 18:01:19

67

Views

Example - Flow $(\varphi_t)_{t\in\mathbb{R}}$ ergodic, but not each $\varphi_t$

Published on 10 May 2026 - 18:01

score 53 · Answer 10 · 2026-04-09 01:49:51

53

Views

Is Schwarz's theorem valid for regular derivatives?

Published on 09 Apr 2026 - 1:49

score 134 · Answer 11 · 2026-04-08 22:27:25

134

Views

An inequality about weighted AM-GM

Published on 08 Apr 2026 - 22:27

score 478 · Answer 12 · 2026-05-10 14:45:33

478

Views

Bundle given by group action

Published on 10 May 2026 - 14:45

score 42 · Answer 13 · 2026-04-14 12:25:04

42

Views

Functions that take out the inverse operation

Published on 14 Apr 2026 - 12:25

score 667 · Answer 14 · 2026-05-10 18:01:30

667

Views

An inequality involving three consecutive primes

Published on 10 May 2026 - 18:01

score 317 · Answer 15 · 2026-05-10 12:33:53

317

Views

When does commutativity imply associativity in a set of operators?

Published on 10 May 2026 - 12:33

List Question

Let $G$ be a group. If there exists a positive integer $m$ such that $a^m=1$ for all $a\in G$, then is $G$ finite?

In seek of a (counter)example

Unexpected use of topology in proofs

Give an example of sets $X,Y$, subset $A,B \subseteq X$ and a function $f:X→Y$ such that $f[A \cap B ]$ $\neq$ $f[A] \cap [B]$

Measure of complement of union of nowhere dense set with positive measure

Elementary counterexample of 'Given $G$ group, $p | |G|$, there exists $H \leq G$ with$ [H:G] = p$?

Is there Any Homomorphism Between Vector Spaces that is not Linear?

Chain complex of free $k[x.y]$ modules with strange homology group

Example - Flow $(\varphi_t)_{t\in\mathbb{R}}$ ergodic, but not each $\varphi_t$

Is Schwarz's theorem valid for regular derivatives?

An inequality about weighted AM-GM

Bundle given by group action

Functions that take out the inverse operation

An inequality involving three consecutive primes

When does commutativity imply associativity in a set of operators?

Trending Questions

Popular # Hahtags

Popular Questions