Question

Show that the predicate $y=x+1$ is not definable in the interpretation $(\mathbb Z,=,f)$ where $f$ is a unary function $x \mapsto x+2$

score 73 · Answer 1 · 2023-06-18 19:01:10

Show that the predicate $y=x+1$ is not definable in the interpretation $(\mathbb Z,=,f)$ where $f$ is a unary function $x \mapsto x+2$

score 222 · Answer 2 · 2026-03-26 06:06:52

222

Views

Confusion with automorphisms of a projective variety with ample or antiample canonical class

Published on 26 Mar 2026 - 6:06

score 188 · Answer 3 · 2023-06-23 12:34:23

188

Views

How many automorphisms are in $Z_2 \times Z_2 \times Z_2$?

Published on 23 Jun 2023 - 12:34

score 132 · Answer 4 · 2023-06-28 08:18:38

132

Views

Automorphism group of $C_{4} \times C_{2}$

Published on 28 Jun 2023 - 8:18

score 89 · Answer 5 · 2023-07-01 10:23:24

Show that $G$ is a complete or empty graph on n vertices if and only if every transposition of $\{1, 2, . . . , n\} $ belongs to $Aut(G)$.

score 87 · Answer 6 · 2026-03-25 23:27:21

87

Views

Let $\mathfrak{A}$ be a finite dimensional $k$-algebra for alg. closed $k$. Prove ${\rm Aut}(\mathfrak{A})$ is a closed subgroup of $GL(\mathfrak{A})$

Published on 25 Mar 2026 - 23:27

score 41 · Answer 7 · 2026-03-28 21:34:23

41

Views

When is a group acting on an algebraic variety $X$ a normal subgroup of $Aut(X)$?

Published on 28 Mar 2026 - 21:34

score 23 · Answer 8 · 2023-07-08 20:00:34

23

Views

Prove $Aut(B_{/A})$ of $B$ inducing the identity on $A$ is finite if and only if the group of invertible elements of $A$ is finite.

Published on 08 Jul 2023 - 20:00

score 87 · Answer 9 · 2026-03-29 06:55:35

87

Views

What is ${\rm Aut}\bigoplus_{i=-\infty}^{\infty}\mathbb{Z}_p$?

Published on 29 Mar 2026 - 6:55

score 74 · Answer 10 · 2026-03-29 08:35:45

74

Views

A "simpler" description of the automorphism group of the Lamplighter group

Published on 29 Mar 2026 - 8:35

score 67 · Answer 11 · 2026-03-27 03:46:05

67

Views

Computing $\mathrm{Fix}(\phi)$ for autormophisms $\phi$ of free groups

Published on 27 Mar 2026 - 3:46

score 59 · Answer 12 · 2023-07-18 00:41:14

59

Views

Existence of graph automorphism with certain property, without enumerating the automorphism group.

Published on 18 Jul 2023 - 0:41

score 82 · Answer 13 · 2026-03-29 03:36:24

82

Views

Size of $p$-subgroups of $\operatorname{Aut}(G)$, where $p$ divides the order of $G$

Published on 29 Mar 2026 - 3:36

score 123 · Answer 14 · 2026-03-29 03:36:46

123

Views

Abelian subgroups of the group of automorphisms of a finite group

Published on 29 Mar 2026 - 3:36

score 212 · Answer 15 · 2026-03-29 11:08:30

212

Views

Show that in a group $G$ of order $165=3\cdot 5\cdot 11$, the center $Z(G)$ contains a subgroup of order 11.

Published on 29 Mar 2026 - 11:08

List Question

Show that the predicate $y=x+1$ is not definable in the interpretation $(\mathbb Z,=,f)$ where $f$ is a unary function $x \mapsto x+2$

Confusion with automorphisms of a projective variety with ample or antiample canonical class

How many automorphisms are in $Z_2 \times Z_2 \times Z_2$?

Automorphism group of $C_{4} \times C_{2}$

Show that $G$ is a complete or empty graph on n vertices if and only if every transposition of $\{1, 2, . . . , n\} $ belongs to $Aut(G)$.

Let $\mathfrak{A}$ be a finite dimensional $k$-algebra for alg. closed $k$. Prove ${\rm Aut}(\mathfrak{A})$ is a closed subgroup of $GL(\mathfrak{A})$

When is a group acting on an algebraic variety $X$ a normal subgroup of $Aut(X)$?

Prove $Aut(B_{/A})$ of $B$ inducing the identity on $A$ is finite if and only if the group of invertible elements of $A$ is finite.

What is ${\rm Aut}\bigoplus_{i=-\infty}^{\infty}\mathbb{Z}_p$?

A "simpler" description of the automorphism group of the Lamplighter group

Computing $\mathrm{Fix}(\phi)$ for autormophisms $\phi$ of free groups

Existence of graph automorphism with certain property, without enumerating the automorphism group.

Size of $p$-subgroups of $\operatorname{Aut}(G)$, where $p$ divides the order of $G$

Abelian subgroups of the group of automorphisms of a finite group

Show that in a group $G$ of order $165=3\cdot 5\cdot 11$, the center $Z(G)$ contains a subgroup of order 11.

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