Characterization of A5 and SL(2,5) by the number of conjugacy classes of non-cyclic subgroups |
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| Authors: | Zahra Rezazadeh |
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| Institution: | Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran |
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| Abstract: | For a finite group G, let νc(G) denote the number of conjugacy classes of non-normal non-cyclic subgroups of G. We show that for every finite non-solvable group G, νc(G) = |π(G)|+1 if and only if G?A5, the alternating group on 5 letters, or SL(2,5). |
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| Keywords: | Conjugacy classes of non-normal subgroups non-cyclic subgroups non-normal subgroups non-solvable groups |
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