Question

How to Find $\operatorname{Aut}(\mathbb Z_8 × \mathbb Z_8)$?

score 84 · Answer 1 · 2026-04-11 07:03:46

84

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How to Find $\operatorname{Aut}(\mathbb Z_8 × \mathbb Z_8)$?

Published on 11 Apr 2026 - 7:03

score 1k · Answer 2 · 2026-04-13 03:24:09

1k

Views

Character tables of $D_n$?

Published on 13 Apr 2026 - 3:24

score 182 · Answer 3 · 2026-05-10 17:15:28

182

Views

What is wrong with my calculation of Jordan canonical form?

Published on 10 May 2026 - 17:15

score 99 · Answer 4 · 2026-04-13 22:19:30

99

Views

Transcendence degree of product of intermediate fields

Published on 13 Apr 2026 - 22:19

score 70 · Answer 5 · 2026-05-11 02:00:42

70

Views

Nilpotent element $a^2$ in a polynomial quotient ring

Published on 11 May 2026 - 2:00

score 76 · Answer 6 · 2026-04-15 08:18:41

76

Views

Showing a finite field isomorphism

Published on 15 Apr 2026 - 8:18

score 89 · Answer 7 · 2026-04-14 19:32:27

89

Views

Consider the groups $\mathbb{S_4}$, $\mathbb{D_6 \times C_2}$ and $\mathbb{A_4 \times C_2}$. Are of any of these two isomorphic?

Published on 14 Apr 2026 - 19:32

score 423 · Answer 8 · 2026-05-10 21:14:39

423

Views

Show that the infinite cyclic group is not isomorphic to a direct product of two nontrivial cyclic groups.

Published on 10 May 2026 - 21:14

score 370 · Answer 9 · 2026-05-10 14:55:41

370

Views

Show $2+\alpha$ is a primitive root of $\mathbb{F}_{25}$.

Published on 10 May 2026 - 14:55

score 765 · Answer 10 · 2026-04-13 09:15:33

765

Views

Describe the following group: $\mathbb{Z_{60}^x}$, as a direct product of cyclic groups of prime power order

Published on 13 Apr 2026 - 9:15

score 25 · Answer 11 · 2026-04-13 18:14:51

25

Views

Understanding a ring homomorphism

Published on 13 Apr 2026 - 18:14

score 108 · Answer 12 · 2026-04-16 01:35:11

108

Views

G cannot be finite if for each prime p there is a surjective homomorphism fp:G→ℤp

Published on 16 Apr 2026 - 1:35

score 29 · Answer 13 · 2026-04-16 22:33:28

29

Views

Can we find a basis $B$ of $M$ such that $|B|=1$?

Published on 16 Apr 2026 - 22:33

score 118 · Answer 14 · 2026-04-14 11:30:27

118

Views

Show that ${\mathbb {R^\times} } \cong C_2 \times (\mathbb{R},+)$

Published on 14 Apr 2026 - 11:30

score 85 · Answer 15 · 2026-04-11 22:23:14

85

Views

What is meant by "Maps" and |.| and "canonical basis" in abstract algebra (in the given context)?

Published on 11 Apr 2026 - 22:23

List Question

How to Find $\operatorname{Aut}(\mathbb Z_8 × \mathbb Z_8)$?

Character tables of $D_n$?

What is wrong with my calculation of Jordan canonical form?

Transcendence degree of product of intermediate fields

Nilpotent element $a^2$ in a polynomial quotient ring

Showing a finite field isomorphism

Consider the groups $\mathbb{S_4}$, $\mathbb{D_6 \times C_2}$ and $\mathbb{A_4 \times C_2}$. Are of any of these two isomorphic?

Show that the infinite cyclic group is not isomorphic to a direct product of two nontrivial cyclic groups.

Show $2+\alpha$ is a primitive root of $\mathbb{F}_{25}$.

Describe the following group: $\mathbb{Z_{60}^x}$, as a direct product of cyclic groups of prime power order

Understanding a ring homomorphism

G cannot be finite if for each prime p there is a surjective homomorphism fp:G→ℤp

Can we find a basis $B$ of $M$ such that $|B|=1$?

Show that ${\mathbb {R^\times} } \cong C_2 \times (\mathbb{R},+)$

What is meant by "Maps" and |.| and "canonical basis" in abstract algebra (in the given context)?

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