Open AccessNse characterization of the simple group L2(3n)
Author(s) -
Hosein Parvizi Mosaed,
Ali Iranmanesh,
Abolfazl Tehranian
Publication year - 2016
Publication title -
publications de l'institut mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim141220015m
Subject(s) - simple group , simple (philosophy) , mathematics , group (periodic table) , combinatorics , set (abstract data type) , order (exchange) , element (criminal law) , characterization (materials science) , physics , computer science , philosophy , optics , epistemology , finance , quantum mechanics , political science , law , economics , programming language
Let G be a group and ?(G) be the set of primes p such that G contains an element of order p. Let nse(G) be the set of numbers of elements of G of the same order. We prove that the simple group L2(3n) is uniquely determined by nse(L2(3n)), where |?(L2(3n))| = 4.