caa a22 4500 605526052 CHVBK 20210128100801.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10958-015-2516-0 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2516-0 Pevzner I. Herzen State Pedagogical University of Russia, St.Petersburg, Russia aut The Width of the Group GL(6 ,K ) with Respect to a Set of Quasiroot Elements [Elektronische Daten] [I. Pevzner] 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 E6, but is also of independent interest. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/4(2015-09-01), 600-613 1072-3374 209:4<600 2015 209 10958 https://doi.org/10.1007/s10958-015-2516-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2516-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pevzner I. Herzen State Pedagogical University of Russia, St.Petersburg, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/4(2015-09-01), 600-613 1072-3374 209:4<600 2015 209 10958