Solution of Whitehead equation on groups.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1289.39047
author: Valeriĭ A. Faĭziev
author: Prasanna Sahoo
publication date: 2013-10-30T00:00:00Z
full work available at URL: http://hdl.handle.net/10338.dmlcz/143289
Mathematics Subject Classification ID: 39B52
zbMATH DE Number: 6221247
zbMATH Keywords: homomorphism
zbMATH Keywords: Fréchet functional equation
zbMATH Keywords: Jensen functional equation
zbMATH Keywords: symmetric bihomomorphism
zbMATH Keywords: Whitehead functional equation
zbMATH Keywords: quadratic equations
MaRDI profile type: Publication
OpenAlex ID: W2615701286
DOI: 10.21136/MB.2013.143289
title: Solution of Whitehead equation on groups.
published in: Mathematica Bohemica
review text: The authors study the solutions of the Whitehead functional equation NEWLINE\[NEWLINE f(xyz) + f(x) + f(y) + f(z) = f(xy) + f(xz) + f(yz), NEWLINE\]NEWLINE where the function \(f\) is defined on a group and takes its values in an abelian group. The solutions of the Fréchet functional equation NEWLINE\[NEWLINE f(xyz) + f(x) + f(y) + f(z) = f(xy) + f(zx) + f(yz) NEWLINE\]NEWLINE under the same conditions are also investigated. For the description of the solutions the authors use standard methods, reducing the equations to Jensen and quadratic equations.
reviewed by: László Székelyhidi
description: scientific article; zbMATH DE number 6221247