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Fundam. Prikl. Mat., 2012, Volume 17, Issue 8, Pages 21–30 (Mi fpm1467)  

Vector groups with isomorphic holomorphs

I. E. Grinshpon

Tomsk State University of Control Systems and Radioelectronics

Abstract: In this paper, vector groups whose holomorphs are isomorphic are studied. In connection with the studied problem, the concepts of a semi-characteristic and $\Gamma(G)$-decomposition of a group are introduced. The properties of such decompositions are described. Isomorphism conditions of holomorphically isomorphic vector groups are found.

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English version:
Journal of Mathematical Sciences (New York), 2014, 197:5, 595–601

UDC: 512.541

Citation: I. E. Grinshpon, “Vector groups with isomorphic holomorphs”, Fundam. Prikl. Mat., 17:8 (2012), 21–30; J. Math. Sci., 197:5 (2014), 595–601

Citation in format AMSBIB
\Bibitem{Gri12}
\by I.~E.~Grinshpon
\paper Vector groups with isomorphic holomorphs
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 8
\pages 21--30
\mathnet{http://mi.mathnet.ru/fpm1467}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 197
\issue 5
\pages 595--601
\crossref{https://doi.org/10.1007/s10958-014-1740-3}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84893843903}


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  • Фундаментальная и прикладная математика
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