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MR2298850 20G15 (20E42 20E45)
Ellers, Erich W.; Gordeev, Nikolai Intersection of conjugacy classes with Bruhat cells in Chevalley groups: the cases ${\rm SL}_n(K),{\rm GL}_n(K)$. J. Pure Appl. Algebra 209 (2007), no. 3, 703–723.
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