Question

Holomorph of a group $G$, then the automorphism of $G$ are inner automorphisms

score 304 · Answer 1 · 2026-02-22 18:55:01

304

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Holomorph of a group $G$, then the automorphism of $G$ are inner automorphisms

Published on 22 Feb 2026 - 18:55

score 111 · Answer 2 · 2026-02-22 18:55:07

111

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Automorphism group of $\operatorname{Hol}(\mathbb{Z_n})$

Published on 22 Feb 2026 - 18:55

score 130 · Answer 3 · 2018-05-29 17:42:12

130

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Presentation of the holomorph of $\mathbb Z/5 \mathbb Z$

Published on 29 May 2018 - 17:42

score 272 · Answer 4 · 2018-07-26 12:24:20

272

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Is the statement that $ \operatorname{Aut}( \operatorname{Hol}(Z_n)) \cong \operatorname{Hol}(Z_n)$ true for every odd $n$?

Published on 26 Jul 2018 - 12:24

score 89 · Answer 5 · 2019-02-03 10:54:29

89

Views

For what $n \in \mathbb{N}$ is $ \operatorname{Hol}(C_2^n)$ complete?

Published on 03 Feb 2019 - 10:54

score 70 · Answer 6 · 2014-06-16 18:10:13

70

Views

Normal closure of the nonnormal factor of Holomorph of a Cyclic group

Published on 16 Jun 2014 - 18:10

score 410 · Answer 7 · 2014-09-01 17:34:09

410

Views

If $G$ is complete, then the holomorph of $G$ is isomorphic to $G\times G$.

Published on 01 Sep 2014 - 17:34

score 107 · Answer 8 · 2014-12-03 15:35:20

107

Views

Embedding $G$ in its holomorph

Published on 03 Dec 2014 - 15:35

score 32 · Answer 9 · 2019-11-24 10:00:32

32

Views

$\int_{\varphi } {f}'/f = 0$ if $f(z)$ has no non positiv real values

Published on 24 Nov 2019 - 10:00

score 65 · Answer 10 · 2020-01-11 23:26:48

65

Views

$f$ is entire without any zeros, then for $ r>0$ $m(r) = \inf\left \{ \left|f(z)\right |:\left|z\right|=r\right \}$, $m$ is non increasing

Published on 11 Jan 2020 - 23:26

score 35 · Answer 11 · 2020-01-12 00:12:36

35

Views

$f: D(a,1)\rightarrow\mathbb{C}$, then $\left | f(z) - f(a) \right | \leq k\left | z-a \right |$

Published on 12 Jan 2020 - 0:12

score 51 · Answer 12 · 2020-06-12 11:53:52

51

Views

Proof of $_()∩=1$,$$ is a holomorph, $$ automorphism group

Published on 12 Jun 2020 - 11:53

score 230 · Answer 13 · 2020-07-25 00:08:17

230

Views

About holomorph of a finite group being the normalizer of regular image

Published on 25 Jul 2020 - 0:08

score 109 · Answer 14 · 2016-11-30 00:21:15

109

Views

Question about Proof - Holomorph as Normalizer in $Sym(G)$

Published on 30 Nov 2016 - 0:21

score 140 · Answer 15 · 2023-02-07 22:27:05

140

Views

The commutator of Holomorph of generalized quaternion is abelian?

Published on 07 Feb 2023 - 22:27

List Question

Holomorph of a group $G$, then the automorphism of $G$ are inner automorphisms

Automorphism group of $\operatorname{Hol}(\mathbb{Z_n})$

Presentation of the holomorph of $\mathbb Z/5 \mathbb Z$

Is the statement that $ \operatorname{Aut}( \operatorname{Hol}(Z_n)) \cong \operatorname{Hol}(Z_n)$ true for every odd $n$?

For what $n \in \mathbb{N}$ is $ \operatorname{Hol}(C_2^n)$ complete?

Normal closure of the nonnormal factor of Holomorph of a Cyclic group

If $G$ is complete, then the holomorph of $G$ is isomorphic to $G\times G$.

Embedding $G$ in its holomorph

$\int_{\varphi } {f}'/f = 0$ if $f(z)$ has no non positiv real values

$f$ is entire without any zeros, then for $ r>0$ $m(r) = \inf\left \{ \left|f(z)\right |:\left|z\right|=r\right \}$, $m$ is non increasing

$f: D(a,1)\rightarrow\mathbb{C}$, then $\left | f(z) - f(a) \right | \leq k\left | z-a \right |$

Proof of $_()∩=1$,$$ is a holomorph, $$ automorphism group

About holomorph of a finite group being the normalizer of regular image

Question about Proof - Holomorph as Normalizer in $Sym(G)$

The commutator of Holomorph of generalized quaternion is abelian?

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