Question

For Frattini subgroup $\Phi(G)$, if $N \vartriangleleft G$, then $\Phi(N) \leq \Phi(G)$. : Counter-example

score 320 · Answer 1 · 2026-04-17 05:41:06

320

Views

For Frattini subgroup $\Phi(G)$, if $N \vartriangleleft G$, then $\Phi(N) \leq \Phi(G)$. : Counter-example

Published on 17 Apr 2026 - 5:41

score 45 · Answer 2 · 2026-04-14 13:37:15

45

Views

Fidning roots of an arbitrary polynomial with a specific pattern

Published on 14 Apr 2026 - 13:37

score 277 · Answer 3 · 2026-04-23 16:04:00

277

Views

Show that the ring isomorphism $\phi :R[x]\to S[x]$ is well-defined.

Published on 23 Apr 2026 - 16:04

score 85 · Answer 4 · 2026-04-09 04:57:38

85

Views

Understanding proof that $\mathbb{Z}/m\mathbb{Z}\otimes\mathbb{Z}/n\mathbb{Z}\cong \mathbb{Z}/d\mathbb{Z}$

Published on 09 Apr 2026 - 4:57

score 400 · Answer 5 · 2026-04-13 19:06:36

400

Views

Expression of unitary group , the discrete subgroups and invariants

Published on 13 Apr 2026 - 19:06

score 124 · Answer 6 · 2026-04-11 03:50:59

124

Views

If a group isomorphism is an involution with only a trivial fixed point, then the group is abelian

Published on 11 Apr 2026 - 3:50

score 190 · Answer 7 · 2026-04-13 15:17:16

190

Views

Lie group SU(n) and symmetric group S$_k$

Published on 13 Apr 2026 - 15:17

score 44 · Answer 8 · 2026-04-29 12:42:47

44

Views

Vector space dimension after nonlinearly mapping spanning vectors

Published on 29 Apr 2026 - 12:42

score 429 · Answer 9 · 2026-04-14 21:29:35

429

Views

Show that $U(8)$ is isomorphic to the group of matrices.

Published on 14 Apr 2026 - 21:29

score 52 · Answer 10 · 2026-04-16 05:26:34

52

Views

Find a homomorphism $f:F^n \rightarrow F^m$ such that such that the solution set is the kernel of $f$

Published on 16 Apr 2026 - 5:26

score 58 · Answer 11 · 2026-04-10 19:49:16

58

Views

Determining irreducible elements and finding ideals

Published on 10 Apr 2026 - 19:49

score 113 · Answer 12 · 2026-04-14 09:31:15

113

Views

Is $(\mathbb{Z}_{(2)}[X])/(X^2+1)$ local?

Published on 14 Apr 2026 - 9:31

score 170 · Answer 13 · 2026-04-11 18:29:28

170

Views

Continuous map from $\text{Spec}(R/I)$ to $\text{Spec}(R)$ induced by the canonical projection homomorphism

Published on 11 Apr 2026 - 18:29

score 330 · Answer 14 · 2026-04-16 08:54:58

Let $G$ be a group and $p$ divide the order of G. Show that if $p^2$ divides the order of $G$ then $p$ divides the order of the automorphism group

score 240 · Answer 15 · 2026-04-17 09:59:10

240

Views

Show that every group of order 30 have an element of order 15

Published on 17 Apr 2026 - 9:59

List Question

For Frattini subgroup $\Phi(G)$, if $N \vartriangleleft G$, then $\Phi(N) \leq \Phi(G)$. : Counter-example

Fidning roots of an arbitrary polynomial with a specific pattern

Show that the ring isomorphism $\phi :R[x]\to S[x]$ is well-defined.

Understanding proof that $\mathbb{Z}/m\mathbb{Z}\otimes\mathbb{Z}/n\mathbb{Z}\cong \mathbb{Z}/d\mathbb{Z}$

Expression of unitary group , the discrete subgroups and invariants

If a group isomorphism is an involution with only a trivial fixed point, then the group is abelian

Lie group SU(n) and symmetric group S$_k$

Vector space dimension after nonlinearly mapping spanning vectors

Show that $U(8)$ is isomorphic to the group of matrices.

Find a homomorphism $f:F^n \rightarrow F^m$ such that such that the solution set is the kernel of $f$

Determining irreducible elements and finding ideals

Is $(\mathbb{Z}_{(2)}[X])/(X^2+1)$ local?

Continuous map from $\text{Spec}(R/I)$ to $\text{Spec}(R)$ induced by the canonical projection homomorphism

Let $G$ be a group and $p$ divide the order of G. Show that if $p^2$ divides the order of $G$ then $p$ divides the order of the automorphism group

Show that every group of order 30 have an element of order 15

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