caa a22 4500 445869291 CHVBK 20180317145507.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s00605-009-0168-1 doi (NATIONALLICENCE)springer-10.1007/s00605-009-0168-1 A new characterization for some linear groups [Elektronische Daten] [Maryam Khatami, Behrooz Khosravi, Zeinab Akhlaghi] Let G be a group and π e(G) be the set of element orders of G. Let $${k\in\pi_e(G)}$$ and m k be the number of elements of order k in G. Let $${{\rm nse}(G) = \{m_k|k\in\pi_e(G)\}}$$ . In Shen etal. (Monatsh Math, 2009), the authors proved that $${A_4\cong {\rm PSL}(2, 3), A_5\cong \rm{PSL}(2, 4)\cong \rm{PSL}(2,5)}$$ and $${A_6\cong \rm{PSL}(2,9)}$$ are uniquely determined by nse(G). In this paper, we prove that if G is a group such that nse(G)=nse(PSL(2, q)), where $${q\in\{7,8,11,13\}}$$ , then $${G\cong {PSL}(2,q)}$$ . Springer-Verlag, 2009 Element order nationallicence Characterization nationallicence Linear group nationallicence Khatami Maryam Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., 15914, Tehran, Iran aut Khosravi Behrooz Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., 15914, Tehran, Iran aut Akhlaghi Zeinab Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., 15914, Tehran, Iran aut Monatshefte für Mathematik Springer Vienna 163/1(2011-05-01), 39-50 0026-9255 163:1<39 2011 163 605 https://doi.org/10.1007/s00605-009-0168-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-009-0168-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Khatami Maryam Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., 15914, Tehran, Iran aut NATIONALLICENCE 700 1- Khosravi Behrooz Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., 15914, Tehran, Iran aut NATIONALLICENCE 700 1- Akhlaghi Zeinab Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., 15914, Tehran, Iran aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 163/1(2011-05-01), 39-50 0026-9255 163:1<39 2011 163 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer