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Finite p-Groups with Few Non-major k-Maximal Subgroups |
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| Authors: | Boyan WEI Haipeng QU and Yanfeng LUO |
| Institution: | 1.School of Mathematics and Statistics,Lanzhou University,Lanzhou,China;2.School of Mathematics and Computer Science,Shanxi Normal University,Shanxi,China |
| Abstract: | A subgroup of index p k of a finite p-group G is called a k-maximal subgroup of G. Denote by d(G) the number of elements in a minimal generator-system of G and by δ k (G) the number of k-maximal subgroups which do not contain the Frattini subgroup of G. In this paper, the authors classify the finite p-groups with δd(G)(G) ≤ p2 and δd(G)?1(G) = 0, respectively. |
| Keywords: | Finite $p$-groups $k$-Maximal subgroups $k$-Major subgroups Frattini subgroup The number of non-major $k$-maximal subgroups |
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