A simple construction for a class of \(p\)-groups with all of their automorphisms central.

DOI10.4171/RSMUP/135-14zbMath1348.20026arXiv1406.7651MaRDI QIDQ2630378

Andrea Caranti

Publication date: 27 July 2016

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7651

zbMATH Keywords

endomorphismsfinite \(p\)-groupslinear transformationscentral automorphisms

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (5)

Brace blocks from bilinear maps and liftings of endomorphisms ⋮ Finite \(p\)-groups of class two with a small multiple holomorph ⋮ Multiple holomorphs of finite \(p\)-groups of class two ⋮ Finite \(p\)-groups of class two with a large multiple holomorph ⋮ Worst-case approximability of functions on finite groups by endomorphisms and affine maps

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