Work

Counting subgroups of a finite group containing a prescribed subgroup

Year: 2025
Type: preprint
Abstract: Let $R$ be a finite group, and let $T$ be a subgroup of $R$. We show that there are at most \[ 7.3722[R:T]^{\frac{\log_2[R:T]}{4}+1.8919} \] subgroups of $R$ containing $T$.
Language: English
Open Access status: green
OpenAlex ID: W6979227570
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