Group actions on spheres with rank one prime power isotropy

Autor:	Hambleton, Ian, Yalcin, Ergun
Rok vydání:	2015
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Topology 57S17 55U15 18Gxx
Zdroj:	Transactions Amer. Math. Soc. 368 (2016), 5951-5977
Druh dokumentu:	Working Paper
DOI:	10.1090/tran/6567
Popis:	We show that a rank two finite group G admits a finite G-CW-complex X homotopy equivalent to a sphere, with rank one prime power isotropy, if and only if G does not p'-involve Qd(p) for any odd prime p. This follows from a more general theorem which allows us to construct a finite G-CW-complex by gluing together a given G-invariant family of representations defined on the Sylow subgroups of G. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1503.06298 Zobrazit plný text záznamu View this record from Arxiv