Question

What is known about collineation groups in general?

score 154 · Answer 1 · 2026-03-25 10:52:41

154

Views

What is known about collineation groups in general?

Published on 25 Mar 2026 - 10:52

score 650 · Answer 2 · 2020-12-12 22:29:22

650

Views

Let $G$ be a group of order 77. Show that $\operatorname{Aut}(G)$ is abelian but not cyclic.

Published on 12 Dec 2020 - 22:29

score 326 · Answer 3 · 2020-12-13 21:09:16

326

Views

Is $\operatorname{Aut}(\mathbb{Z}_3\times \mathbb{Z}_3)$ isomorphic with $\operatorname{Aut}(\mathbb{Z}_3)\times \operatorname{Aut}(\mathbb{Z}_3)$?

Published on 13 Dec 2020 - 21:09

score 60 · Answer 4 · 2026-03-25 12:17:21

60

Views

Automorphisms of the adeles of $\mathbb{Q}$

Published on 25 Mar 2026 - 12:17

score 70 · Answer 5 · 2020-12-15 19:06:02

70

Views

Composition of automorphisms can not reveal what the original automorphism is?

Published on 15 Dec 2020 - 19:06

score 90 · Answer 6 · 2020-12-15 19:48:10

90

Views

Is it very hard problem to determine original automorphism from composition of automorphisms in ${\rm Aut}(\Bbb{Z}_p \times \Bbb{Z}_p)$

Published on 15 Dec 2020 - 19:48

score 262 · Answer 7 · 2020-12-16 09:58:45

262

Views

Find non trivial homomorphism $\mathbb{Z}/q\mathbb{Z} \rightarrow \text{Aut}(\mathbb{Z}/p\mathbb{Z})$

Published on 16 Dec 2020 - 9:58

score 70 · Answer 8 · 2020-12-16 12:14:31

70

Views

Non trivial homomorphisms $\mathbb{Z}/3\mathbb{Z} \rightarrow \text{Aut}(\mathbb{Z}/7\mathbb{Z})$

Published on 16 Dec 2020 - 12:14

score 133 · Answer 9 · 2020-12-17 14:56:07

133

Views

Show that $\text{Aut}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$ (morphism construction)

Published on 17 Dec 2020 - 14:56

score 563 · Answer 10 · 2020-12-18 02:29:24

563

Views

$Aut(G) = \{id\}$ iff $|G| \leq 2$.

Published on 18 Dec 2020 - 2:29

score 175 · Answer 11 · 2026-03-28 04:42:49

175

Views

Automorphism group of a non-abelian group is divisible by $p^2$.

Published on 28 Mar 2026 - 4:42

score 84 · Answer 12 · 2020-12-20 20:38:00

84

Views

An ${\rm Aut}(\mathbb{Z}/n\mathbb{Z}) \rightarrow(\mathbb{Z}/n\mathbb{Z})^\times$ construction

Published on 20 Dec 2020 - 20:38

score 372 · Answer 13 · 2026-02-23 17:27:35

372

Views

Is every group isomorphic to the automorphism group of some magma?

Published on 23 Feb 2026 - 17:27

score 46 · Answer 14 · 2020-12-21 19:47:22

46

Views

Word for the type of structure/category where each automorphism on an object corresponds to a different object?

Published on 21 Dec 2020 - 19:47

score 290 · Answer 15 · 2020-12-26 11:43:06

290

Views

Which automorphism groups are well-understood?

Published on 26 Dec 2020 - 11:43

List Question

What is known about collineation groups in general?

Let $G$ be a group of order 77. Show that $\operatorname{Aut}(G)$ is abelian but not cyclic.

Is $\operatorname{Aut}(\mathbb{Z}_3\times \mathbb{Z}_3)$ isomorphic with $\operatorname{Aut}(\mathbb{Z}_3)\times \operatorname{Aut}(\mathbb{Z}_3)$?

Automorphisms of the adeles of $\mathbb{Q}$

Composition of automorphisms can not reveal what the original automorphism is?

Is it very hard problem to determine original automorphism from composition of automorphisms in ${\rm Aut}(\Bbb{Z}_p \times \Bbb{Z}_p)$

Find non trivial homomorphism $\mathbb{Z}/q\mathbb{Z} \rightarrow \text{Aut}(\mathbb{Z}/p\mathbb{Z})$

Non trivial homomorphisms $\mathbb{Z}/3\mathbb{Z} \rightarrow \text{Aut}(\mathbb{Z}/7\mathbb{Z})$

Show that $\text{Aut}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$ (morphism construction)

$Aut(G) = \{id\}$ iff $|G| \leq 2$.

Automorphism group of a non-abelian group is divisible by $p^2$.

An ${\rm Aut}(\mathbb{Z}/n\mathbb{Z}) \rightarrow(\mathbb{Z}/n\mathbb{Z})^\times$ construction

Is every group isomorphic to the automorphism group of some magma?

Word for the type of structure/category where each automorphism on an object corresponds to a different object?

Which automorphism groups are well-understood?

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