Locally nilpotent linear groups with restrictions on their subgroups of infinite central dimension.
From MaRDI portal
Publication:1014916
DOI10.1007/s10711-008-9299-0zbMath1168.20024OpenAlexW1989763287MaRDI QIDQ1014916
Javier Otal, Leonid A. Kurdachenko, Nikolaj N. Semko, José M. Muñoz-Escolano
Publication date: 29 April 2009
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10711-008-9299-0
locally nilpotent groupshypercentral groupsinfinite-dimensional linear groupsminimax groupsweak minimal conditioninfinite central dimension
Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over fields (20H20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Locally nilpotent linear groups with the weak chain conditions on subgroups of infinite central dimension.
- The structure of groups of finitary transformations
- Linear groups with the minimal condition on subgroups of infinite central dimension.
- Groups with subnormality for all subgroups that are not finitely generated
- Linear groups with the maximal condition on subgroups of infinite central dimension.
- Polyminimaxgruppen
- Finiteness conditions and factorizations in infinite groups
- Periodic Linear Groups with the Weak Chain Conditions on Subgroups of Infinite Central Dimension