New combinatorial properties of linear groups

DOI10.1006/jabr.2000.8413zbMath0983.20041OpenAlexW2091750613MaRDI QIDQ1840621

Alexander Potapchik, Vladimir Platonov

Publication date: 17 January 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8413

zbMATH Keywords

general linear groupsunipotent groupsautomorphism groups of free groupssubgroups of finite indexfinitely generated groupssolvable subgroups

Mathematics Subject Classification ID

Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (3)

On linear groups with the property of order finiteness of all primitive words in generators ⋮ On the linearity of automorphism groups for free metabelian groups. ⋮ On maximal unipotent subgroups of a special linear group over commutative ring

Cites Work

• The automorphism group of a free group is not linear
• Low-dimensional representations of \(\text{Aut}(F_ 2)\)
• Free subgroups in linear groups
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