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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 3, Pages 185–191
(Mi fpm1036)
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This article is cited in 1 scientific paper (total in 1 paper)
Representations of the first degree of Abelian groups
A. M. Sebel'din, A. L. Sylla Nizhny Novgorod State Pedagogical University
Abstract:
A complete description of $\operatorname{Hom}(G,\operatorname{Aut}V)$, where $V$ is a vector space of dimension $1$ on a finite field $\mathbb{F}_{q}$,
on the rational field $\mathbb{Q}$, on the field of real numbers $\mathbb{R}$, and on the field of complex numbers $\mathbb{C}$ is given. The description is given in each of these four cases for any Abelian group $G$.
Received: 01.05.2006
Citation:
A. M. Sebel'din, A. L. Sylla, “Representations of the first degree of Abelian groups”, Fundam. Prikl. Mat., 13:3 (2007), 185–191; J. Math. Sci., 154:3 (2008), 405–410
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https://www.mathnet.ru/eng/fpm1036 https://www.mathnet.ru/eng/fpm/v13/i3/p185
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Abstract page: | 337 | Full-text PDF : | 111 | References: | 62 |
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