Let R be a finite group, and let T be a subgroup of R. We show that there are at most [Formula presented] subgroups of R containing T.
Guerra, L., Mastrogiacomo, F., Spiga, P. (2025). Counting subgroups of a finite group containing a prescribed subgroup. JOURNAL OF PURE AND APPLIED ALGEBRA, 229(9) [10.1016/j.jpaa.2025.108038].
Counting subgroups of a finite group containing a prescribed subgroup
Mastrogiacomo F.;Spiga P.
2025
Abstract
Let R be a finite group, and let T be a subgroup of R. We show that there are at most [Formula presented] subgroups of R containing T.
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