ON GROUPS WELL REPRESENTED AS AUTOMORPHISM GROUPS OF GROUPS

Mohsen Asgharzadeh; Mohammad Golshani; Daniel Herden; Saharon Shelah

doi:10.1216/jca.2025.17.251

ON GROUPS WELL REPRESENTED AS AUTOMORPHISM GROUPS OF GROUPS

Mohsen Asgharzadeh
, Mohammad Golshani
, Daniel Herden
, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Assuming Gödel’s axiom of constructibility V = L, we present a characterization of those groups K for which there exist arbitrarily large groups H such that Aut(H)^∼= K.

Original language	English
Pages (from-to)	251-270
Number of pages	20
Journal	Journal of Commutative Algebra
Volume	17
Issue number	3
DOIs	https://doi.org/10.1216/jca.2025.17.251
State	Published - Sep 2025

Bibliographical note

Publisher Copyright:
© Rocky Mountain Mathematics Consortium.

Keywords

automorphisms
diamond principle
representation of groups
set theoretical methods in group theory

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10.1216/jca.2025.17.251

Cite this

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title = "ON GROUPS WELL REPRESENTED AS AUTOMORPHISM GROUPS OF GROUPS",

abstract = "Assuming G{\"o}del{\textquoteright}s axiom of constructibility V = L, we present a characterization of those groups K for which there exist arbitrarily large groups H such that Aut(H)∼= K.",

keywords = "automorphisms, diamond principle, representation of groups, set theoretical methods in group theory",

author = "Mohsen Asgharzadeh and Mohammad Golshani and Daniel Herden and Saharon Shelah",

note = "Publisher Copyright: {\textcopyright} Rocky Mountain Mathematics Consortium.",

year = "2025",

month = sep,

doi = "10.1216/jca.2025.17.251",

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AU - Golshani, Mohammad

AU - Herden, Daniel

AU - Shelah, Saharon

N1 - Publisher Copyright: © Rocky Mountain Mathematics Consortium.

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AB - Assuming Gödel’s axiom of constructibility V = L, we present a characterization of those groups K for which there exist arbitrarily large groups H such that Aut(H)∼= K.

KW - automorphisms

KW - diamond principle

KW - representation of groups

KW - set theoretical methods in group theory

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JO - Journal of Commutative Algebra

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IS - 3

ER -

ON GROUPS WELL REPRESENTED AS AUTOMORPHISM GROUPS OF GROUPS

Abstract

Bibliographical note

Keywords

Access to Document

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