周期为3的自由Burnside群的自同构

Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2017-12-22 DOI:10.46991/pysu:a/2019.53.1.013

V. S. Atabekyan, H. T. Aslanyan, A. Grigoryan

{"title":"周期为3的自由Burnside群的自同构","authors":"V. S. Atabekyan, H. T. Aslanyan, A. Grigoryan","doi":"10.46991/pysu:a/2019.53.1.013","DOIUrl":null,"url":null,"abstract":"We have proved that any automorphism of the free Burnside group $ B(3) $ of period 3 and an arbitrary rank is induced by an automorphism of the free group of the same rank.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"432 ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2017-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"AUTOMORPHISMS OF FREE BURNSIDE GROUPS OF PERIOD 3\",\"authors\":\"V. S. Atabekyan, H. T. Aslanyan, A. Grigoryan\",\"doi\":\"10.46991/pysu:a/2019.53.1.013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We have proved that any automorphism of the free Burnside group $ B(3) $ of period 3 and an arbitrary rank is induced by an automorphism of the free group of the same rank.\",\"PeriodicalId\":21146,\"journal\":{\"name\":\"Proceedings of the YSU A: Physical and Mathematical Sciences\",\"volume\":\"432 \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the YSU A: Physical and Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46991/pysu:a/2019.53.1.013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the YSU A: Physical and Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46991/pysu:a/2019.53.1.013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

证明了周期为3且任意秩的自由Burnside群$ B(3) $的自同构是由同一秩的自由群$的自同构诱导出来的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

AUTOMORPHISMS OF FREE BURNSIDE GROUPS OF PERIOD 3

We have proved that any automorphism of the free Burnside group $ B(3) $ of period 3 and an arbitrary rank is induced by an automorphism of the free group of the same rank.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of the YSU A: Physical and Mathematical Sciences

自引率

0.00%

发文量