Non-existence of isomorphisms between certain unitals
type: Item
instance of: scholarly article
title: Non-existence of isomorphisms between certain unitals
zbMATH Open document ID: 1231.05297
author: Theo Grundhöfer
author: Boris Krinn
author: Markus Stroppel
published in: Designs, Codes and Cryptography
publication date: 2011-06-17T00:00:00Z
review text: The authors prove that the automorphism group of a finite Ree-Tits unital of order \(q\) coincides with the automorphism group of the associated Ree group \(R(q)\), and is thus isomorphic to the semidirect product of \(R(q)\) and the automorphism group of the finite field \(\mathbb F_ q\). Moreover, they show that a Ree-Tits unital is neither isomorphic to a Hermitian unital nor to the polar unital in one of the Coulter-Matthews planes.
reviewed by: Norbert Knarr
Mathematics Subject Classification ID: 05E18
Mathematics Subject Classification ID: 51A10
Mathematics Subject Classification ID: 51E26
Mathematics Subject Classification ID: 51D20
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 5909195
zbMATH Keywords: unital
zbMATH Keywords: Ree group
zbMATH Keywords: Coulter-Matthews plane
zbMATH Keywords: isomorphism
zbMATH Keywords: automorphism group
zbMATH Keywords: O'Nan configuration
MaRDI profile type: Publication
full work available at URL: s10623-010-9428-2
OpenAlex ID: W2098639840
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DOI: 10.1007/S10623-010-9428-2
description: scientific article; zbMATH DE number 5909195