| On the Characterizability of the Automorphism Groups of Sporadic Simple Groups by Their Element Orders |
| |
| 作者姓名： | A.R.MOGHADDAMFAR A.R.ZOKAYI M.R.DARAFSHEH |
| |
| 作者单位： | Department of Mathematics Faculty of Science，K.N.Toosi University of Technology，P.O.Box 16315-1618，Tehran，Iran，Department of Mathematics，Faculty of Science，K.N.Toosi University of Technology，P.O.Box 16315-1618，Tehran，Iran，Department of Mathematics and Computer Sciences，Faculty of Science，University of Tehran，Tehran，Iran |
| |
| 基金项目： | This work has been partially sopported by the Research Institute for Fundamental Sciences Tabriz,Iran |
| |
| 摘 要： | For G a finite group,π_e(G) denotes the set of orders of elements in G.If Ω is a subsetof the set of natural numbers,h(Ω) stands for the number of isomorphism classes of finite groups withthe stone set Ω of element orders.We say that G is k-distinguishable if h(π_e(G))=k<∞,otherwiseG is called non-distinguishable.Usually,a 1-distinguishable group is called a characterizable group.Itis shown that if M is a sporadic simple group different from M_(12),M_(22),J_2,He,Suz,M~cL and O'N,then Aut(M) is characterizable by its element orders.It is also proved that if M is isomorphic toM_(12),M_(22),He,Suz or O'N,then h(π_e(Aut(M)))∈{1,∞}.
|
On the Characterizability of the Automorphism Groups of Sporadic Simple Groups by Their Element Orders |
| |
| A.R.MOGHADDAMFAR,A.R.ZOKAYI,M.R.DARAFSHEH.On the Characterizability of the Automorphism Groups of Sporadic Simple Groups by Their Element Orders[J].Acta Mathematicae Applicatae Sinica,2004(4). |
| |
| Authors: | ARMOGHADDAMFAR ARZOKAYI |
| |
| Institution: | A.R.MOGHADDAMFAR A.R.ZOKAYI Department of Mathematics,Faculty of Science,K.N.Toosi University of Technology,P.O.Box 16315-1618,Tehran,Iran M.R.DARAFSHEH Department of Mathematics and Computer Sciences,Faculty of Science,University of Tehran,Tehran,Iran |
| |
| Abstract: | |
| |
| Keywords: | Automorphism group Element orders Prime graph Sporadic simple groups |
| 本文献已被 CNKI 等数据库收录！ |
|
