Homomorphisms between Chevalley groups of types \(C_ n\) and \(G_ 2\) over finite fields
type: Item
instance of: scholarly article
title: Homomorphisms between Chevalley groups of types \(C_ n\) and \(G_ 2\) over finite fields
zbMATH Open document ID: 0881.20021
author: Jianguo Zha
published in: Chinese Annals of Mathematics. Series B
publication date: 1998-02-22T00:00:00Z
review text: Let \(\Sigma\) be an indecomposable root system and \(L\) a lattice between the weight lattice and root lattice of \(\Sigma\). Denote by \(G(\Sigma,F,L)\) the Chevalley group associated with \(\Sigma\) and \(L\) over a field \(F\). The author determines all nontrivial homomorphisms from \(G(\Sigma,k,L_1)\) to \(G(\Sigma,K,L_2)\), where \(\Sigma\) is of type \(C_n\) or \(G_2\), \(k\) and \(K\) are finite fields of characteristic \(p\) with \(p\neq 2\) in the case of type \(C_n\) and \(p\neq 2,3\) in the case of type \(G_2\).
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20E36
zbMATH DE Number: 1045551
zbMATH Keywords: indecomposable root systems
zbMATH Keywords: weight lattices
zbMATH Keywords: root lattices
zbMATH Keywords: Chevalley groups
zbMATH Keywords: homomorphisms
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1045551