{"title":"自由亚系群中球方程的一个注释","authors":"E. Timoshenko","doi":"10.1515/gcc-2017-0012","DOIUrl":null,"url":null,"abstract":"Abstract I. Lysenok and A. Ushakov proved that the Diophantine problem for spherical quadric equations in free metabelian groups is solvable. The present paper proves this result by using the Magnus embedding.","PeriodicalId":41862,"journal":{"name":"Groups Complexity Cryptology","volume":"2018 1","pages":"155 - 158"},"PeriodicalIF":0.1000,"publicationDate":"2017-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A remark on spherical equations in free metabelian groups\",\"authors\":\"E. Timoshenko\",\"doi\":\"10.1515/gcc-2017-0012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract I. Lysenok and A. Ushakov proved that the Diophantine problem for spherical quadric equations in free metabelian groups is solvable. The present paper proves this result by using the Magnus embedding.\",\"PeriodicalId\":41862,\"journal\":{\"name\":\"Groups Complexity Cryptology\",\"volume\":\"2018 1\",\"pages\":\"155 - 158\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2017-01-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Groups Complexity Cryptology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/gcc-2017-0012\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups Complexity Cryptology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/gcc-2017-0012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
摘要
I. Lysenok和A. Ushakov证明了自由亚谢群中球面二次方程的Diophantine问题是可解的。本文利用Magnus嵌入证明了这一结果。
A remark on spherical equations in free metabelian groups
Abstract I. Lysenok and A. Ushakov proved that the Diophantine problem for spherical quadric equations in free metabelian groups is solvable. The present paper proves this result by using the Magnus embedding.