Question

How to approach proofs similar to "Show a group, $G$, is infinite if $G = \langle r, s, t\mid rst = 1\rangle $"

score 203 · Answer 1 · 2026-03-25 18:59:08

203

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How to approach proofs similar to "Show a group, $G$, is infinite if $G = \langle r, s, t\mid rst = 1\rangle $"

Published on 25 Mar 2026 - 18:59

score 45 · Answer 2 · 2020-01-08 17:00:23

45

Views

Questions about equivalence relations

Published on 08 Jan 2020 - 17:00

score 646 · Answer 3 · 2020-01-08 17:59:38

646

Views

How to do transitive closure of a relation

Published on 08 Jan 2020 - 17:59

score 115 · Answer 4 · 2020-01-09 01:08:52

Show that the condition of transitivity of the relation $\mathcal{R}$ is equivalent to $\mathcal{R}\circ\mathcal{R}\subset\mathcal{R}$.

score 18 · Answer 5 · 2026-03-22 01:32:35

18

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Naming of subtypes of sorting

Published on 22 Mar 2026 - 1:32

score 65 · Answer 6 · 2020-01-09 19:37:03

65

Views

Find out Hasse diagram for the relation

Published on 09 Jan 2020 - 19:37

score 45 · Answer 7 · 2020-01-10 16:21:00

Verify that any two elements of $X$ are connected by the relation $\mathcal{R}\subset X^{2}$ iff $\mathcal{R}\cup\mathcal{R}' = X^{2}$.

score 62 · Answer 8 · 2020-01-10 19:19:00

62

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$R \circ R$ of algebraically defined relation $R$

Published on 10 Jan 2020 - 19:19

score 50 · Answer 9 · 2020-01-11 06:48:48

50

Views

$A⊆B$ then $R(A)⊆R(B)$

Published on 11 Jan 2020 - 6:48

score 39 · Answer 10 · 2020-01-12 14:53:27

39

Views

Examples of order relations

Published on 12 Jan 2020 - 14:53

score 36 · Answer 11 · 2020-01-12 19:28:34

36

Views

Prove the relations $\mathcal{R}_{1}$ and $\mathcal{R}_{2}$ are functions and the inverse of each other

Published on 12 Jan 2020 - 19:28

score 119 · Answer 12 · 2020-01-13 12:06:05

119

Views

Prove/ disprove equivalence relation and prove cardinality of subset

Published on 13 Jan 2020 - 12:06

score 104 · Answer 13 · 2020-01-13 14:47:30

104

Views

Generalization of binary operators?

Published on 13 Jan 2020 - 14:47

score 38 · Answer 14 · 2020-01-13 16:38:00

38

Views

Prove that $2n\mid m$ is asymmetric

Published on 13 Jan 2020 - 16:38

score 58 · Answer 15 · 2020-01-14 19:11:25

58

Views

Contradiction when using inequality sign as a relation between functions.

Published on 14 Jan 2020 - 19:11

List Question

How to approach proofs similar to "Show a group, $G$, is infinite if $G = \langle r, s, t\mid rst = 1\rangle $"

Questions about equivalence relations

How to do transitive closure of a relation

Show that the condition of transitivity of the relation $\mathcal{R}$ is equivalent to $\mathcal{R}\circ\mathcal{R}\subset\mathcal{R}$.

Naming of subtypes of sorting

Find out Hasse diagram for the relation

Verify that any two elements of $X$ are connected by the relation $\mathcal{R}\subset X^{2}$ iff $\mathcal{R}\cup\mathcal{R}' = X^{2}$.

$R \circ R$ of algebraically defined relation $R$

$A⊆B$ then $R(A)⊆R(B)$

Examples of order relations

Prove the relations $\mathcal{R}_{1}$ and $\mathcal{R}_{2}$ are functions and the inverse of each other

Prove/ disprove equivalence relation and prove cardinality of subset

Generalization of binary operators?

Prove that $2n\mid m$ is asymmetric

Contradiction when using inequality sign as a relation between functions.

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