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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 6, Pages 153–157 (Mi smj818)  
Minimal algebraic groups with finite center

K. N. Ponomarev
Full-text PDF (614 kB)
Abstract: An algebraic infinite $K$-group with finite center is called minimal if all its proper $K$-subgroups have infinite center. We prove that every nonsolvable minimal $K$-group is $K$-isomorphic to the special orthogonal group $SO_{3,f}$ or to the spinor group $Spin_{3,f}$ of a quadratic anisotropic $K$-form $f$ in three variables.
Received: 19.01.1993
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 6, Pages 1138–1141
DOI: https://doi.org/10.1007/BF00973477
Bibliographic databases:
UDC: 512.623.27
Language: Russian
Citation: K. N. Ponomarev, “Minimal algebraic groups with finite center”, Sibirsk. Mat. Zh., 34:6 (1993), 153–157; Siberian Math. J., 34:6 (1993), 1138–1141
Citation in format AMSBIB
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\by K.~N.~Ponomarev
\paper Minimal algebraic groups with finite center
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 6
\pages 153--157
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1268166}
\zmath{https://zbmath.org/?q=an:0830.20068}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 6
\pages 1138--1141
\crossref{https://doi.org/10.1007/BF00973477}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MQ34600015}
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