Geodesic
Rigid Embedding of Simple Groups in the General Linear Group
Canadian journal of mathematics, Tome 29 (1977) no. 2, pp. 384-391

Voir la notice de l'article provenant de la source Cambridge University Press

Let K be a (commutative) field and n be a positive integer. Consider the K-algebra E = Mat (n, K) of all n X n matrices over K, and the corresponding general linear group GL(n, K). We shall define the set R of rigid mappings of E to consist of all a in GLK(E) which can be written in one of two possible forms: either x σ= axb for all x ε E or xσ = ax'b for all x ε E (where a and b are fixed elements of GL(n, K) and x’ denotes the transpose of x). 
Dixon, John D. Rigid Embedding of Simple Groups in the General Linear Group. Canadian journal of mathematics, Tome 29 (1977) no. 2, pp. 384-391. doi: 10.4153/CJM-1977-041-0
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