The Number of Subgroup Chains of Finite Nilpotent Groups
In this paper, we mainly count the number of subgroup chains of a finite nilpotent group. We derive a recursive formula that reduces the counting problem to that of finite <i>p</i>-groups. As applications of our main result, the classification problem of distinct fuzzy subgroups of finit...
Main Authors: | Lingling Han, Xiuyun Guo |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2020-09-01
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Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/12/9/1537 |
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