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COHOMOLOGICAL UNIQUENESS, MASSEY PRODUCTS AND THE MODULAR ISOMORPHISM PROBLEM FOR 2-GROUPS OF MAXIMAL NILPOTENCY CLASS.
- Source :
-
Transactions of the American Mathematical Society . Jul2013, Vol. 365 Issue 7, p3729-3751. 23p. - Publication Year :
- 2013
-
Abstract
- Let G be a finite 2-group of maximal nilpotency class, and let BG be its classifying space. We prove that iteratedMassey products in H*(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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 365
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 87073373
- Full Text :
- https://doi.org/10.1090/S0002-9947-2013-05756-X