List questions from holomorph

Published on 22 Mar 2026 - 17:38

48

Views

Is the holomorph of generalized quaternion group embedded in the affine group of Galois ring?

Published on 23 Feb 2026 - 0:29

27

Views

The socle of the holomorph of the simple group $A_{5}$

Published on 22 Mar 2026 - 19:45

1.5k

Views

The holomorph of $Z_2 \times Z_2$

Published on 22 Mar 2026 - 10:09

331

Views

Holomorph of Cyclic $p$-groups

Published on 06 Apr 2026 - 4:35

264

Views

Why is the holomorph of a group $G$ a group of transformations of $G$?

Published on 23 Feb 2026 - 0:30

69

Views

Prove $\forall z\in H$, $\frac{|f'(z)|}{Im f(z)} ≤ \frac{1}{Im f(z)}$ given f holomorphic using Schwarz Lemma

Published on 23 Feb 2026 - 0:31

118

Views

Conjugation of regular subgroups in the holomorph

Published on 22 Mar 2026 - 12:39

157

Views

Is a holomorph of a group unique?

Published on 06 Apr 2026 - 1:36

38

Views

Cauchy Integralformula comprehension question

Published on 22 Mar 2026 - 15:46

657

Views

Showing ${\rm Aut}(Q_{2^n})\cong{\rm Hol}(\Bbb Z_{2^{n-1}})$ for $n>3$

Published on 23 Feb 2026 - 0:30

33

Views

In $\operatorname{Hol}(\Bbb{Z}_{10})$, is every mapping from $G\rightarrow\operatorname{Aut}(G)$ just an identity mapping?

Published on 23 Feb 2026 - 0:30

55

Views

Is $\operatorname{Hol}(D_4)$ isomorphic to a familiar group?

Published on 23 Feb 2026 - 0:28

29

Views

Holomorphic function over a real interval has an extension to a subset of the complex plane

Published on 23 Feb 2026 - 0:26

123

Views

Let $G$ be a group, $\lambda:G\to S_G$ s.t. $\lambda(g)(x)=gx$, ${\rm Hol}(G)=\lambda(G){\rm Aut}(G)$. Prove ${\rm Hol}(G)=G\rtimes{\rm Aut}(G)$.

Published on 23 Feb 2026 - 0:28

List Question

Class of nilpotency of semidirect product

Is the holomorph of generalized quaternion group embedded in the affine group of Galois ring?

The socle of the holomorph of the simple group $A_{5}$

The holomorph of $Z_2 \times Z_2$

Holomorph of Cyclic $p$-groups

Why is the holomorph of a group $G$ a group of transformations of $G$?

Prove $\forall z\in H$, $\frac{|f'(z)|}{Im f(z)} ≤ \frac{1}{Im f(z)}$ given f holomorphic using Schwarz Lemma

Conjugation of regular subgroups in the holomorph

Is a holomorph of a group unique?

Cauchy Integralformula comprehension question

Showing ${\rm Aut}(Q_{2^n})\cong{\rm Hol}(\Bbb Z_{2^{n-1}})$ for $n>3$

In $\operatorname{Hol}(\Bbb{Z}_{10})$, is every mapping from $G\rightarrow\operatorname{Aut}(G)$ just an identity mapping?

Is $\operatorname{Hol}(D_4)$ isomorphic to a familiar group?

Holomorphic function over a real interval has an extension to a subset of the complex plane

Let $G$ be a group, $\lambda:G\to S_G$ s.t. $\lambda(g)(x)=gx$, ${\rm Hol}(G)=\lambda(G){\rm Aut}(G)$. Prove ${\rm Hol}(G)=G\rtimes{\rm Aut}(G)$.

Trending Questions

Popular # Hahtags

Popular Questions