FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 8, PAGES 21-30

**Vector groups with isomorphic holomorphs**

I. E. Grinshpon

Abstract

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

Location: http://mech.math.msu.su/~fpm/eng/k1112/k118/k11803h.htm

Last modified: March 23, 2013