arXiv Open Access 2019

A Geometric Characterization of Rational Groups

Cecil Andrew Ellard

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Abstrak

We give a geometric characterization of finite rational groups. In particular, we prove that a finite group is rational if and only if there exists a finite geometry $Γ$ of type $I$ and action of $G$ on $Γ$ as a group of automorphisms such that if $g$ and $h$ are elements of $G$ fixing the same number of flags of type $J$ for all subsets $J$ of $I$, then $g$ and $h$ are conjugate in $G$.

Topik & Kata Kunci

math.GR

Penulis (1)

Cecil Andrew Ellard

Format Sitasi

APA MLA BibTeX

Ellard, C.A. (2019). A Geometric Characterization of Rational Groups. https://arxiv.org/abs/1905.11523

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓