The Width of the Group GL(6,K) with Respect to a Set of Quasiroot Elements

The structure of GL(6, K ) with respect to a certain family of conjugacy classes the elements of which are said to be quasiroot is studied. Namely, it is proved that any element of GL(6, K ) is a product of three quasiroot elements, and a complete description of the elements that are products of two...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2015-09, Vol.209 (4), p.600-613
Main Author: Pevzner, I. M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:The structure of GL(6, K ) with respect to a certain family of conjugacy classes the elements of which are said to be quasiroot is studied. Namely, it is proved that any element of GL(6, K ) is a product of three quasiroot elements, and a complete description of the elements that are products of two quasiroot elements is given. The result arises in studying the width of the exceptional groups of type E 6 , but is also of independent interest.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-015-2516-0