Infinite Groups with an Anticentral Element

DOI10.1080/00927872.2011.614666zbMath1271.20050OpenAlexW2041446789MaRDI QIDQ4908967

Kıvanç Ersoy

Publication date: 8 March 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.614666

zbMATH Keywords

locally finite groupsconnected algebraic groupssplitting automorphismsinfinite Camina groupsanticentral elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Periodic groups; locally finite groups (20F50) Local properties of groups (20E25)

Related Items (2)

Finite groups with a splitting automorphism of odd order. ⋮ Anticentral and antisemicentral elements of infinite soluble groups

Cites Work

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• A general Brauer-Fowler theorem and centralizers in locally finite groups
• Die Nilpotenz der \(H_ p\)-Gruppen
• Generalized Frobenius groups
• More on \(p\)-groups of Frobenius type
• Generalized Frobenius groups. II.
• Some p-groups of Frobenius and extra-special type
• Applications of the theory of Camina groups
• On regular automorphisms of order \(3\) and Frobenius pairs
• On Camina groups of prime power order
• On Infinite Camina Groups
• Locally Solvable Finitary Linear Groups
• Groups with Anticentral Elements
• Coprime Group Actions Fixing All Nonlinear Irreducible Characters

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