Weyl ǵroups and finite Chevalley ǵroups
- 1 March 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 67 (2) , 269-276
- https://doi.org/10.1017/s0305004100045540
Abstract
In his fundamental paper (1) Chevalley showed how to associate with each complex simple Lie algebra L and each field K a group G = L(K) which is (in all but four exceptional cases) simple. If K is a finite field GF(q), G is a finite group of order where l is the rank of L, m is the number of positive roots of L and d is a certain integer determined by L and K. The integers m1, m2,…,m1 are determined by L only and satisfy the conditionThis publication has 5 references indexed in Scilit:
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