Finite groups of rank two which do not involve $Qd(p)$

Autor:	Kızmaz, Muhammet Yasir, Yalcin, Ergun
Rok vydání:	2018
Předmět:	Mathematics - Group Theory Mathematics - Algebraic Topology Primary: 20Dxx Secondary: 20E25 57S17
Druh dokumentu:	Working Paper
Popis:	Let $p>3$ be a prime. We show that if $G$ is a finite group with $p$-rank equal to 2, then $G$ involves $Qd(p)$ if and only if $G$ $p'$-involves $Qd(p)$. This allows us to use a version of Glauberman's ZJ-theorem to give a more direct construction of finite group actions on mod-$p$ homotopy spheres. We give an example to illustrate that the above conclusion does not hold for $p \leq 3$. Comment: Revised version, to appear in Proc. Amer. Math. Soc
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.10810 Zobrazit plný text záznamu View this record from Arxiv