Question

Prove $Aut_F(E)$ is isomorphic to a subgroup of $Perm(X_1)×···×Perm(X_r)$

score 93 · Answer 1 · 2017-05-11 01:42:52

93

Views

Prove $Aut_F(E)$ is isomorphic to a subgroup of $Perm(X_1)×···×Perm(X_r)$

Published on 11 May 2017 - 1:42

score 1.9k · Answer 2 · 2017-05-12 13:59:14

1.9k

Views

Understanding the non-trivial automorphism which exists on $G$

Published on 12 May 2017 - 13:59

score 57 · Answer 3 · 2017-05-18 12:16:59

57

Views

Questions about proving $E^H /F$ is a normal extension $\Leftrightarrow$ $H\lhd Gal(E/F)$

Published on 18 May 2017 - 12:16

score 113 · Answer 4 · 2017-05-23 03:30:14

113

Views

The absolute center for nilpotent group of class $3$

Published on 23 May 2017 - 3:30

score 155 · Answer 5 · 2017-05-23 13:46:33

155

Views

When $\sigma\in S_n$ belongs to the Galois group of a separable polynomial

Published on 23 May 2017 - 13:46

score 69 · Answer 6 · 2026-03-28 22:30:00

69

Views

Examples of over $\Bbb Q(i)$ such that the Galois group is (i)$\Bbb Z_2\times \Bbb Z_2$ (ii) $D_4$

Published on 28 Mar 2026 - 22:30

score 31 · Answer 7 · 2017-05-28 08:40:26

31

Views

How can I determine the automorphism?

Published on 28 May 2017 - 8:40

score 22 · Answer 8 · 2017-05-30 02:35:32

22

Views

Let $M$ be a finite model of a language where nonlogical symbols are only constants and symbols of $1-$aria relation.

Published on 30 May 2017 - 2:35

score 42 · Answer 9 · 2026-02-23 13:46:54

42

Views

(From Milne) If $L/F$ is an extension of ﬁelds of degree 2, then there is an automorphism $\sigma$ of $L$ such that $F$ is the ﬁxed ﬁeld of $\sigma$

Published on 23 Feb 2026 - 13:46

score 234 · Answer 10 · 2026-03-29 19:29:51

234

Views

Tree Automorphism

Published on 29 Mar 2026 - 19:29

score 389 · Answer 11 · 2026-03-25 19:06:12

389

Views

When is the automorphism group of a nilpotent group nilpotent?

Published on 25 Mar 2026 - 19:06

score 41 · Answer 12 · 2017-06-13 15:24:33

41

Views

Automorphisms in Algebra

Published on 13 Jun 2017 - 15:24

score 272 · Answer 13 · 2017-06-16 22:33:59

272

Views

Outer automorphisms of a connected Lie group

Published on 16 Jun 2017 - 22:33

score 141 · Answer 14 · 2026-03-25 06:04:19

141

Views

Proof that the symmetric design isomorphic to $PG(m,q)$ has an automorphism acting regularly on points (Singer's Theorem)

Published on 25 Mar 2026 - 6:04

score 486 · Answer 15 · 2017-06-19 17:01:49

486

Views

Topics in algebra Herstein section 2.9, exercise 3.

Published on 19 Jun 2017 - 17:01

List Question

Prove $Aut_F(E)$ is isomorphic to a subgroup of $Perm(X_1)×···×Perm(X_r)$

Understanding the non-trivial automorphism which exists on $G$

Questions about proving $E^H /F$ is a normal extension $\Leftrightarrow$ $H\lhd Gal(E/F)$

The absolute center for nilpotent group of class $3$

When $\sigma\in S_n$ belongs to the Galois group of a separable polynomial

Examples of over $\Bbb Q(i)$ such that the Galois group is (i)$\Bbb Z_2\times \Bbb Z_2$ (ii) $D_4$

How can I determine the automorphism?

Let $M$ be a finite model of a language where nonlogical symbols are only constants and symbols of $1-$aria relation.

(From Milne) If $L/F$ is an extension of ﬁelds of degree 2, then there is an automorphism $\sigma$ of $L$ such that $F$ is the ﬁxed ﬁeld of $\sigma$

Tree Automorphism

When is the automorphism group of a nilpotent group nilpotent?

Automorphisms in Algebra

Outer automorphisms of a connected Lie group

Proof that the symmetric design isomorphic to $PG(m,q)$ has an automorphism acting regularly on points (Singer's Theorem)

Topics in algebra Herstein section 2.9, exercise 3.

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