Finite p-groups of exponent \(p^ 2\) in which each element commutes with its endomorphic images

DOI10.1016/0021-8693(85)90068-7zbMath0572.20008OpenAlexW2003810800MaRDI QIDQ1062136

Andrea Caranti

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90068-7

zbMATH Keywords

endomorphismscentral automorphismsnon-central automorphismstitular groups

Mathematics Subject Classification ID

Near-rings (16Y30) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (7)

Minimal Number of Generators and Minimum Order of a Non-Abelian Group Whose Elements Commute with Their Endomorphic Images ⋮ Automorphisms which fix the centralizers of a group ⋮ 3-Generator Groups Whose Elements Commute with Their Endomorphic Images Are Abelian ⋮ From endomorphisms to bi-skew braces, regular subgroups, the Yang-Baxter equation, and Hopf-Galois structures ⋮ Finite \(p\)-groups ⋮ Centers and Generalized Centers of Near-Rings ⋮ A module-theoretic approach to abelian automorphism groups.

Cites Work

• Unnamed Item
• Automorphism groups of \(p\)-groups of class 2 and exponent \(p^2\): A classification on 4 generators
• On finite groups whose endomorphic images are characteristic subgroups
• A non-abelian 2-group whose endomorphisms generate a ring, and other examples of E-groups
• Distributively Generated Near-Rings: (I. Ideal Theory)
• More on Groups in Which Each Element Commutes with its Endomorphic Images
• A Contribution to the Theory of Groups of Prime-Power Order
• Groups in Which Each Element Commutes with its Endomorphic Images
• Endliche Gruppen I

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