THE AUTOMORPHISMS OF NON-DEFECTIVE ORTHOGONAL GROUPS Ω8(V)AND O’8(V)IN CHARACTERISTIC 2

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作者
李福安
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[1] Institute of Mathematics Academia Sinica
[2] Beijing
[3] China.
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Th; THE AUTOMORPHISMS OF NON-DEFECTIVE ORTHOGONAL GROUPS; V)AND O; V)IN CHARACTERISTIC 2; der;
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摘要
Let V be a non-defective 8-dimensional quadratic space over a field F of characteristic2,F≠F2.We prove that if there is an exceptional automorphism of either Ω8(V)orO’8(V),then Va has a Cayley algebra structure for some a in .Moreover,everyexceptional automorphism of O’8(V)as exactly one of the following forms:1°Φg or 2°Φg,where Φg is an automorphism of O’8(V)given by conjugation by a semilinear automorphismof V which preserves the quadratic structure,and 1 and 2 are the automorphismsinduced by triality principle.Every exceptional automorphism of Ω8(V)is the restrictionof a unique exceptional automorphism of O’8(V).
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页码:1 / 13
页数:13
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