List questions from automorphism-group

Published on 23 Mar 2026 - 12:50

378

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Any group automorphism can preserve some nontrivial subgroups if the group is non-abelian

Published on 14 Nov 2018 - 21:03

1.3k

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Size of $\mathrm{Gal}(\mathbb{Q}(\cos(2\pi/7))/\mathbb{Q})$

Published on 17 Nov 2018 - 14:26

96

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Derivation space as an algebra

Published on 19 Nov 2018 - 0:44

177

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Constructing a polynomial given the Galois Group of it's splitting field

Published on 19 Nov 2018 - 15:17

689

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What is $\operatorname{Aut}(\mathbb{Z}_2\oplus \mathbb{Z}_2)$?

Published on 23 Nov 2018 - 15:41

151

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What is the smallest nontrivial poset with trivial automorphism group?

Published on 25 Nov 2018 - 12:56

3.1k

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Automorphisms of a Cyclic Group

Published on 25 Nov 2018 - 16:14

46

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Proving isomorphism using Cayley

Published on 30 Nov 2018 - 22:33

48

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How to construct the homomorphism in semidirect product of $Z_3$ and $Z_{13}$?

Published on 25 Mar 2026 - 7:46

22

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If $g,h \in L[X]$ prime divisors of f irreducible, than it exists $\phi \in Aut(L/K)$ with $\phi(g) = h$.

Published on 06 Dec 2018 - 13:40

43

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Connection between properties of a ring and its quotient rings

Published on 25 Mar 2026 - 10:56

1.1k

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Automorphism of $D_8$

Published on 12 Dec 2018 - 0:50

344

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Prove that permutation group is automorphism group of some structure

Published on 12 Dec 2018 - 16:56

1.5k

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Show that no asymmetric graph $G$ exists with $1 < \big|V(G)\big| \leq 5.$

Published on 25 Mar 2026 - 9:09

List Question

"Purely inseparable, algebraic extension if and only if trivial automorphism group"

Any group automorphism can preserve some nontrivial subgroups if the group is non-abelian

Size of $\mathrm{Gal}(\mathbb{Q}(\cos(2\pi/7))/\mathbb{Q})$

Derivation space as an algebra

Constructing a polynomial given the Galois Group of it's splitting field

What is $\operatorname{Aut}(\mathbb{Z}_2\oplus \mathbb{Z}_2)$?

What is the smallest nontrivial poset with trivial automorphism group?

Automorphisms of a Cyclic Group

Proving isomorphism using Cayley

How to construct the homomorphism in semidirect product of $Z_3$ and $Z_{13}$?

If $g,h \in L[X]$ prime divisors of f irreducible, than it exists $\phi \in Aut(L/K)$ with $\phi(g) = h$.

Connection between properties of a ring and its quotient rings

Automorphism of $D_8$

Prove that permutation group is automorphism group of some structure

Show that no asymmetric graph $G$ exists with $1 < \big|V(G)\big| \leq 5.$

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