Butiran eJurnal
Cohomological uniqueness, Massey products and the modular isomorphism problem for 2-groups of maximal nilpotency class
HARVEST (oa)
oa595544
Tarikh
2011-05-05
Pencipta
Ruiz, Albert
Subjek
Algebraic Topology; Group Theory
Jenis
text
Pengenal (Identifier)
http://arxiv.org/abs/1105.1143 Transactions AMS. 365 (2013), 3729-3751; doi:10.1090/S0002-9947-2013-05756-X
Sumber Harvest
ARXIV
Deskripsi
Let $G$ be a finite 2-group of maximal nilpotency class, and let $BG$ be its classifying space. We prove that iterated Massey products in $H^*(BG;\F_2)$ do characterize the homotopy type of $BG$ among 2-complete spaces with the same cohomological structure. As a consequence we get an alternative proof of the modular isomorphism problem for 2-groups of maximal nilpotency class.