On superstable CSA-groups

DOI10.1016/j.apal.2006.04.005zbMath1154.03013arXiv0809.3441OpenAlexW1971162291MaRDI QIDQ925848

Abderezak Ould Houcine

Publication date: 23 May 2008

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3441

zbMATH Keywords

abeliansuperstablefinite Morley rankbad groupCSA-groupmalnormal

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Special aspects of infinite or finite groups (20F99) Structure and classification of infinite or finite groups (20E99) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (3)

Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces ⋮ Strongly indecomposable finite groups. ⋮ Superstable subgroups of \(\text{SL}_2(K)\) and \(\text{PSL}_2(K)\). (Sous-groupes superstables de \(\text{SL}_2(K)\) et de \(\text{PSL}_2(K)\))

Cites Work

• Superstable groups
• Superstable groups; a partial answer to conjectures of Cherlin and Zil'ber
• Existentially closed CSA-groups.
• Superstable subgroups of \(\text{SL}_2(K)\) and \(\text{PSL}_2(K)\). (Sous-groupes superstables de \(\text{SL}_2(K)\) et de \(\text{PSL}_2(K)\))
• PERIODIC FACTOR GROUPS OF HYPERBOLIC GROUPS
• EXPONENTIAL GROUPS 2: EXTENSIONS OF CENTRALIZERS AND TENSOR COMPLETION OF CSA-GROUPS
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