ON RECOGNITION BY SPECTRUM OF SYMMETRIC GROUPS

Gorshkov, I. B.; Grishkov, A. N.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ON RECOGNITION BY SPECTRUM OF SYMMETRIC GROUPS

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Author(s):	Gorshkov, I. B. ; Grishkov, A. N. Total Authors: 2
Document type:	Journal article
Source:	SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA; v. 13, p. 111-121, 2016.
Web of Science Citations:	1
Abstract
The spectrum of a group is the set of its element orders. A finite group G is said to be recognizable by spectrum if every finite group with the same spectrum is isomorphic to G. We prove that if n epsilon [15; 16; 18; 21; 27] then symmetric groups Sym(n) are recognizable by spectrum. (AU)

FAPESP's process:	14/08964-1 - Moufang loops and related groups
Grantee:	Ilia Gorshkov
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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