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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 8, Pages 21–30
(Mi fpm1467)
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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.
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
Linking options:
https://www.mathnet.ru/eng/fpm1467 https://www.mathnet.ru/eng/fpm/v17/i8/p21
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Statistics & downloads: |
Abstract page: | 337 | Full-text PDF : | 119 | References: | 62 | First page: | 1 |
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