Vector groups with isomorphic holomorphs
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 21-30
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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 $\Gamma(G)$-decomposition of a group are introduced. The properties of such decompositions are described. Isomorphism conditions of holomorphically isomorphic vector groups are found.
@article{FPM_2012_17_8_a3,
author = {I. E. Grinshpon},
title = {Vector groups with isomorphic holomorphs},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {21--30},
publisher = {mathdoc},
volume = {17},
number = {8},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a3/}
}
I. E. Grinshpon. Vector groups with isomorphic holomorphs. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 21-30. http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a3/