{"title":"Decidability and stability of free nilpotent lie algebras and free nilpotent p-groups of finite exponent","authors":"Andreas Baudisch","doi":"10.1016/0003-4843(82)90008-0","DOIUrl":null,"url":null,"abstract":"<div><p>Our main result is the decidability and ω-stability of free <em>c</em>th nilpotent <em>p</em>-groups of finite exponent (<em>c</em> < <em>p</em>).</p></div>","PeriodicalId":100093,"journal":{"name":"Annals of Mathematical Logic","volume":"23 1","pages":"Pages 1-25"},"PeriodicalIF":0.0000,"publicationDate":"1982-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0003-4843(82)90008-0","citationCount":"18","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematical Logic","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0003484382900080","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 18
Abstract
Our main result is the decidability and ω-stability of free cth nilpotent p-groups of finite exponent (c < p).