N. A. Vavilov

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Bounded generation of Steinberg groups over Dedekind rings of arithmetic type2025
• Relative Decomposition of Transvections: Explicit Bounds2025
• Uniform bounded elementary generation of Chevalley groups2024 · аннотациясвернуть

  Abstract In this paper, we establish a definitive result which almost completely closes the problem of bounded elementary generation for Chevalley groups of rank ≥2 over arbitrary Dedekind rings R of arithmetic…

• St. Petersburg School of Linear Groups: II. Early Works by Suslin2024
• Irina Dmitrievna Suprunenko (04.02.1954–10.08.2022)2024
• K1 of Chevalley groups are nilpotent2003
• Decomposition of Transvections: A Theme with Variations2000 · аннотациясвернуть

  Introduction The study of linear groups over fields goes back to the mid 19-th century. A landmark in their history is the book of J.Dieudonn'e [Di], where the theory was extended to skew-fields. However the theory of…

• Structure of Hyperbolic Unitary Groups I: Elementary Subgroups2000 · аннотациясвернуть

  This is the first in a series of papers dedicated to the structure of hyperbolic unitary groups over form rings and their subgroups. In this part, we recall foundations of the theory and study the elementary subgroup of…