Geodesic
Isomorphisms Between Linear Groups Over Division Rings
Canadian journal of mathematics, Tome 45 (1993) no. 5, pp. 997-1008

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

In the present paper we completely describe the isomorphisms between projective elementary groups PSLn and PSLm (n ≥ 2, m ≥ 2) over division rings. It was found that such groups can be isomorphic only if n = m; the division rings are isomorphic or anti-isomorphic, except for the following groups:PSL(2,F7) and PSL(3,F2); PSL(2, F4) and PSL(2,F5).The idea is based on a deepening of the classical Hua's approach. This problem has been solved independently by H. Ren, Z. Wan and X. Wu using a different way
DOI : 10.4153/CJM-1993-055-3
Mots-clés : 20G35, 16A39 
Petechuk, Vasilij M. Isomorphisms Between Linear Groups Over Division Rings. Canadian journal of mathematics, Tome 45 (1993) no. 5, pp. 997-1008. doi: 10.4153/CJM-1993-055-3
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