Nilpotent groups are not dualizable

DOI10.1017/S1446788700003827zbMath1009.20024OpenAlexW2134724378MaRDI QIDQ3146370

Robert W. Quackenbush, Csaba Szabó

Publication date: 27 April 2003

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700003827

zbMATH Keywords

finite groupsnatural dualitiesnon-Abelian \(p\)-groupsnon-Abelian Sylow subgroups

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Structure theory of algebraic structures (08A05)

Related Items (10)

Naturally dualizable algebras omitting types 1 and 5 have a cube term ⋮ Dualisability versus residual character: a theorem and a counterexample ⋮ Dualizability of automatic algebras. ⋮ A juggler's dozen of easy\(^\dag\) problems (\(^\dag\) Well, easily formulated \dots). ⋮ Natural dualities, nilpotence and projective planes ⋮ DUALIZABILITY OF GRAPHS ⋮ SUPERNILPOTENCE PREVENTS DUALIZABILITY ⋮ Dualities for quasi-varieties of bands. ⋮ DUALISABILITY OF FINITE SEMIGROUPS ⋮ Binary homomorphisms and natural dualities

Cites Work

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