1547845830-Classification_of_Quasithin_Groups_-_Volume_II__Aschbacher_

(jair2018) #1
14.8. THE QTKE-GROUPS WITH .Cr(G, T) #- 0 1079

Suppose that L / 02 (L) ~ A5. Then the choice of L above was forced, so that

K / 02 ( K) ~ Ador all K E Lj ( G, T). Therefore J / 02 ( J) ~ Ador all J E L f ( G, T)
by 1.2.4 and A.3.12. Thus part (4) of Hypothesis 13.3.1 is satisfied, completing the
verification of Hypothesis 13.3.1.
Now Theorem 14.8.1 completes the proof of Theorem D. D

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