Cohomological uniqueness, Massey products and the modular isomorphism problem for $2$-groups of maximal nilpotency class
نویسندگان
چکیده
منابع مشابه
Cohomological Uniqueness, Massey Products and the Modular Isomorphism Problem for 2-groups of Maximal Nilpotency Class
Let G be a finite 2-group of maximal nilpotency class, and let BG be its classifying space. We prove that iterated Massey products inH∗(BG;F2) 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.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2013
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2013-05756-x