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

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.

UDC: 511.172

Received: 12.03.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:10, 38–48

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