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Quadratic algebra of square groups
Authors:H-J Baues  T Pirashvili
Institution:a Max-Planck-Institut für Mathematik, 53111 Bonn, Germany
b Razmadze Mathematical Institute, Tbilisi 0193, Georgia
c Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, United Kingdom
Abstract:Square groups are quadratic analogues of abelian groups. Many properties of abelian groups are shown to hold for square groups. In particular, there is a symmetric monoidal tensor product of square groups generalizing the classical tensor product.
Keywords:Quadratic algebra  Square group  Symmetric monoidal category  Ring spectrum
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