Hall universal group as a direct limit of algebraic groups

DOI10.1006/jabr.1996.6982zbMath0873.20032OpenAlexW2005114845MaRDI QIDQ1359015

Alexander E. Zalesskij, Mahmut Kuzucuoǧlu

Publication date: 2 November 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6982

zbMATH Keywords

embeddingsdirect limitscountable locally finite groupsHall universal groupdirect limits of locally finite simple groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Finite simple groups and their classification (20D05) Limits, profinite groups (20E18)

Cites Work

• Infinite alternating groups as finitary linear transformation groups
• Some groups generated by transvection subgroups
• The structure of finitary permutation groups
• Lokale Systeme in universellen Gruppen
• Strong finiteness conditions in locally finite groups
• Some Constructions for Locally Finite Groups
• Universal Locally Finite Central Extensions of Groups
• Infinitesimal Invariants of Algebraic Groups