Abstract
Let G = G(K), where G is a simple and simply connected algebraic group that is defined and quasi-split over a field K. Commutators in G with some regular elements are considered. In particular, it is proved (under some additional condition) that every unipotent regular element of G is conjugate to a commutator [g, v], where g is any fixed semisimple regular element of G, and that every non-central element of G is conjugate to a product [g, σ][ureg, τ ], where g is a special element of the group G and ureg is a regular unipotent element of G. Bibliography: 12 titles.
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