Kovdrysh V. The width of verbal subgroups of unitriangular matrices groups over rings

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U006337

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

26-11-2012

Specialized Academic Board

Д26.001.18

Essay

The thesis is devoted to investigation of width of verbal subgroups of unitriangular matrices groups over rings of integers and residues. Characterizes the width of members of lower central series and Engel series for infinite dimensional group of finite unitriangular matrices above Z. Found that the member of those series in profinite group of infinite dimensional unitriangular matrices above Zm have finite width.

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