Question

Prove that the map of $A \mapsto BAB^{-1}$ is an automorphism of the group of all Special Matrices $SL(\mathbb{R})$

score 1k · Answer 1 · 2017-10-26 02:59:48

1k

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Prove that the map of $A \mapsto BAB^{-1}$ is an automorphism of the group of all Special Matrices $SL(\mathbb{R})$

Published on 26 Oct 2017 - 2:59

score 721 · Answer 2 · 2026-03-28 09:50:16

721

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Determining order of elements and number of automorphisms in dihedral groups

Published on 28 Mar 2026 - 9:50

score 615 · Answer 3 · 2017-10-31 08:29:28

615

Views

Automorphism of Complex field

Published on 31 Oct 2017 - 8:29

score 42 · Answer 4 · 2017-10-31 21:39:21

42

Views

Can every group be embedded normally in a group such that its automorphisms are all conjugations?

Published on 31 Oct 2017 - 21:39

score 100 · Answer 5 · 2017-11-01 17:00:24

100

Views

Centralizer of an outer automorphism

Published on 01 Nov 2017 - 17:00

score 103 · Answer 6 · 2017-11-02 23:00:49

103

Views

What can we say about the equivalence relation defined such that $G \sim H \Longleftrightarrow Aut(G) \simeq Aut(H)$?

Published on 02 Nov 2017 - 23:00

score 79 · Answer 7 · 2017-11-07 16:02:35

79

Views

If a function has an infinite amount of automorphisms would that imply that it is periodic?

Published on 07 Nov 2017 - 16:02

score 1k · Answer 8 · 2017-11-08 22:52:08

1k

Views

Why does $x^n-1$ split over a finite field $\mathbb{F}_p$? (for $n|p-1$)

Published on 08 Nov 2017 - 22:52

score 248 · Answer 9 · 2017-11-09 00:42:53

248

Views

Group with Prime Order

Published on 09 Nov 2017 - 0:42

score 32 · Answer 10 · 2017-11-09 05:55:50

32

Views

Exist an easy way to find a homomorphism from $\mathbb{Z}_3$ to $\operatorname{Aut}(K_4 \times \mathbb{Z}_2)$?

Published on 09 Nov 2017 - 5:55

score 40 · Answer 11 · 2017-11-09 15:28:18

40

Views

Giving an example of an automorphism for a group

Published on 09 Nov 2017 - 15:28

score 1.5k · Answer 12 · 2017-11-09 15:30:45

1.5k

Views

Groups with given automorphism groups

Published on 09 Nov 2017 - 15:30

score 370 · Answer 13 · 2017-11-11 15:28:32

370

Views

$\DeclareMathOperator{\Aut}{Aut}$ $\Aut(\mathbb{Z}/{n\mathbb{Z}})$ and $\Aut(\mathbb{Z}/{2n\mathbb{Z}})$ are isomorphic for $n \in \mathbb{N}$ odd

Published on 11 Nov 2017 - 15:28

score 604 · Answer 14 · 2017-11-16 18:09:23

604

Views

Please help: How to show that Aut(G) is a subgroup of Sym(G)

Published on 16 Nov 2017 - 18:09

score 916 · Answer 15 · 2017-11-17 03:44:49

916

Views

Defining an inner automorphism

Published on 17 Nov 2017 - 3:44

List Question

Prove that the map of $A \mapsto BAB^{-1}$ is an automorphism of the group of all Special Matrices $SL(\mathbb{R})$

Determining order of elements and number of automorphisms in dihedral groups

Automorphism of Complex field

Can every group be embedded normally in a group such that its automorphisms are all conjugations?

Centralizer of an outer automorphism

What can we say about the equivalence relation defined such that $G \sim H \Longleftrightarrow Aut(G) \simeq Aut(H)$?

If a function has an infinite amount of automorphisms would that imply that it is periodic?

Why does $x^n-1$ split over a finite field $\mathbb{F}_p$? (for $n|p-1$)

Group with Prime Order

Exist an easy way to find a homomorphism from $\mathbb{Z}_3$ to $\operatorname{Aut}(K_4 \times \mathbb{Z}_2)$?

Giving an example of an automorphism for a group

Groups with given automorphism groups

$\DeclareMathOperator{\Aut}{Aut}$ $\Aut(\mathbb{Z}/{n\mathbb{Z}})$ and $\Aut(\mathbb{Z}/{2n\mathbb{Z}})$ are isomorphic for $n \in \mathbb{N}$ odd

Please help: How to show that Aut(G) is a subgroup of Sym(G)

Defining an inner automorphism

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