Year: 2017
Type: preprint
Abstract: Let $H$ be an open subgroup of a profinite group that can be expressed as intersection of maximal subgroups of $G.$ Given a positive real number $η,$ we say that $H$ is an $η$-intersection if there exists a family of maximal subgroups $M_1,\ldots,M_t$ such that $H=M_1\cap\ldots\cap M_t$ and $|G:M_1|\cdots|G:M_t|\le |G:H|^η$. We investigate the meaning of this property and its influence on the group structure.
Source: arXiv (Cornell University)
Authors: Heras, Iker de las, Lucchini, Andrea
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4297686574