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...Advanced studies in pure mathematics progress algebraic combinatorics pp geometry of matrices zhe xian wan memory professor l k hua introduction the study was initiated by mid forties at first relating to his theory functions several complex variables he began studying four types over field i e geometries rectan gular symmetric skew and her mitian extended result on any characteristic not rect angular division ring distinct from lf applied it problems algebra then succeeded many mathematicians recent years has also been graph explain we are inter ested is better start with erlangen program which formulated f klein says a set properties figures invariant under nonsingular linear transformations some group there pointed out timate relationship between invariants fundamental problem sense characterize transformation as few geometric possible answer this often called theorem points associated space certain kind same size received february revised may paper presented international conferenc...