On units in loop algebra \(F[M(\mathrm{Dih}(C_p^2),2)]\)
type: Item
instance of: scholarly article
title: On units in loop algebra \(F[M(\mathrm{Dih}(C_p^2),2)]\)
zbMATH Open document ID: 1404.20053
author: Swati Sidana
published in: Beiträge zur Algebra und Geometrie
publication date: 2018-02-28T00:00:00Z
review text: Let \(L=M(G,2)\) be a Moufang loop, \(F[L]\) be its loop algebra over a field \(F\) and \(J(F[L])\) be the Jacobson radical of \(F[L]\). The author described the unit loop of \(F[L]/J(F[L])\) and the structure of \(1+J(F[L])\), where \(L=M(G,2)\) is obtained from the generalized dihedral group \(G=\mathrm{Dih}(C_p^2)\), \(p>2\) is prime and \(F\) is a finite field of characteristic \(2\) containing a primitive \(p\)th root of unity.
reviewed by: Wiesław A. Dudek
Mathematics Subject Classification ID: 20N05
Mathematics Subject Classification ID: 17D05
Mathematics Subject Classification ID: 16U60
zbMATH DE Number: 6845415
zbMATH Keywords: loop algebra
zbMATH Keywords: unit loop
zbMATH Keywords: general linear loop
zbMATH Keywords: Zorn's algebra
MaRDI profile type: Publication
full work available at URL: s13366-017-0345-7
OpenAlex ID: W2732930365
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DOI: 10.1007/S13366-017-0345-7
description: scientific article; zbMATH DE number 6845415