Year: 2025
Type: article
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. In particular, we show that it suffices to have one such group H such that the size of its center is bigger than 2|K|+ℵ0.
Source: Journal of Commutative Algebra
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4413989096