| On the Characterizability of the Automorphism Groups of Sporadic Simple Groups by Their Element Orders |
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| 引用本文： | 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]. 应用数学学报(英文版), 2004, 0(4) |
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| 作者姓名： | A.R.MOGHADDAMFAR A.R.ZOKAYI M.R.DARAFSHEH |
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| 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 |
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| 基金项目： | This work has been partially sopported by the Research Institute for Fundamental Sciences Tabriz,Iran |
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| 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,∞}.
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On the Characterizability of the Automorphism Groups of Sporadic Simple Groups by Their Element Orders |
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| A.R.MOGHADDAMFAR A.R.ZOKAYI. On the Characterizability of the Automorphism Groups of Sporadic Simple Groups by Their Element Orders[J]. Acta Mathematicae Applicatae Sinica, 2004, 0(4) |
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| Authors: | A.R.MOGHADDAMFAR A.R.ZOKAYI |
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| Affiliation: | 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 |
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| Abstract: | |
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| Keywords: | Automorphism group Element orders Prime graph Sporadic simple groups |
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