Properties of a~symbol of a~type of elements in simple field
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2015), pp. 45-56

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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
Mots-clés : symbol of type.
@article{IVM_2015_10_a3,
     author = {S. A. Tyurin},
     title = {Properties of a~symbol of a~type of elements in simple field},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {45--56},
     publisher = {mathdoc},
     number = {10},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_10_a3/}
}
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S. A. Tyurin. Properties of a~symbol of a~type of elements in simple field. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2015), pp. 45-56. http://geodesic.mathdoc.fr/item/IVM_2015_10_a3/