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pro vyhledávání: '"E. A. Egorchenkova"'
Autor:
E. A. Egorchenkova
Publikováno v:
Journal of Mathematical Sciences. 247:571-582
Let G be a simply connected Chevalley group over an infinite field K, and let $$ \tilde{w} $$ : Gn → G be a word map that corresponds to a nontrivial word w. In 2015, it has been proved that if w = w1w2w3w4 is the product of four words in independe
Autor:
Nikolai Gordeev, E. A. Egorchenkova
Publikováno v:
Journal of Mathematical Sciences. 243:561-572
The word maps $$ \tilde{w}:\kern0.5em {\mathrm{GL}}_m{(D)}^{2k}\to {\mathrm{GL}}_n(D) $$ and $$ \tilde{w}:\kern0.5em {D}^{\ast 2k}\to {D}^{\ast } $$ for a word $$ w=\prod \limits_{i=1}^k\left[{x}_i,{y}_i\right], $$ where D is a division algebra over