Abstract
Assume G is a group of order \(2^n, n\ge 5\). Let \(s_k(G)\) denote the number of subgroups of order \(2^k\) of G. We classify finite 2-groups G with \(s_k(G)\le 2^4,\) where \(1\le k\le n\).
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The author would like to express her sincere gratitude to the referee. Thanks to the referee for his or her valuable comments. Thanks Professor Qinhai Zhang for his frequent encouragement.
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This work was supported by NSFC (Nos. 11471198 and 11771258).
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Wang, L. Finite 2-Groups Whose Number of Subgroups of Each Order are at Most \(2^4\). Commun. Math. Stat. 6, 207–226 (2018). https://doi.org/10.1007/s40304-018-0133-1
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DOI: https://doi.org/10.1007/s40304-018-0133-1