Challenges for 21st century group theory

DOI10.1090/CONM/800/16049zbMATH Open1542.20004MaRDI QIDQ6551455

Avinoam Mann

Publication date: 7 June 2024

zbMATH Keywords

algebraic groupsLie groupsfinite simple groupsinverse Galois problemEngel groupstopological groupsgrowth of groupsBurnside problemproblems in group theory

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Finite simple groups and their classification (20D05) Research exposition (monographs, survey articles) pertaining to topological groups (22-02) Future perspectives in mathematics (01A67) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Linear algebraic groups and related topics (20Gxx) Special aspects of infinite or finite groups (20Fxx) Lie groups (22Exx)

Cites Work

• Locally nilpotent 4-Engel groups are Fitting groups.
• On groups in which every two conjugate operations are permutable.
• Finite groups in which conjugate operations are commutative.
• Subgroup growth.
• A Remark on the Structure ofN-Engel Groups
• The Finite Simple Groups
• On locally finite 𝑝-groups satisfying an Engel condition
• 4-ENGEL GROUPS ARE LOCALLY NILPOTENT
• Title not available (Why is that?)
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