Locally soluble infinite-dimensional linear groups with restrictions on nonAbelian subgroups of infinite ranks

• Autores: O. Yu. Dashkova
• Localización: Algebra and logic, ISSN 0002-5232, Vol. 47, Nº. 5, 2008, págs. 340-347
• Idioma: inglés
• DOI: 10.1007/s10469-008-9025-x
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• Resumen

  • We are concerned with locally soluble linear groups of infinite central dimension and infinite sectional p-rank, p ? 0, in which every proper non-Abelian subgroup of infinite sectional p-rank has finite central dimension. It is proved that such groups are soluble.