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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 10, Pages 45–56 (Mi ivm9042)  
Properties of a symbol of a type of elements in simple field

S. A. Tyurin

Lobachevsky State University of Nizhni Novgorod, 23 Gagarin Ave., Nizhni Novgorod, 603950 Russia
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Abstract: We obtain some properties of a symbol of a type of elements in simple field of positive characteristic as well as connected with it functions and matrices which elements are expressed by a symbol of a type. Besides we obtain the method of finding minimal invariant subsets of the multiplicative group of the simple field.
Keywords: number theory, finite fields, symbol of type.
Received: 12.03.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 10, Pages 38–48
DOI: https://doi.org/10.3103/S1066369X15100047
Bibliographic databases:
Document Type: Article
UDC: 511.172
Language: Russian
Citation: S. A. Tyurin, “Properties of a symbol of a type of elements in simple field”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10, 45–56; Russian Math. (Iz. VUZ), 59:10 (2015), 38–48
Citation in format AMSBIB
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\by S.~A.~Tyurin
\paper Properties of a~symbol of a~type of elements in simple field
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 10
\pages 45--56
\mathnet{http://mi.mathnet.ru/ivm9042}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 10
\pages 38--48
\crossref{https://doi.org/10.3103/S1066369X15100047}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941917755}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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