{"title":"“BGp∧的稳定同伦分类”的勘误表[拓扑34 (1995)633-649]","authors":"John Martino , Stewart Priddy","doi":"10.1016/j.top.2010.10.001","DOIUrl":null,"url":null,"abstract":"<div><p>In this note we correct one argument in the proof of Theorem 1.1 of our paper Martino and Priddy (1995) <span>[1]</span>, given as <span>Theorem 1</span> below. Let <span><math><mi>G</mi></math></span>, <span><math><msup><mrow><mi>G</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> be finite groups and <span><math><mi>p</mi></math></span> be a prime number. The goal is to give necessary and sufficient algebraic conditions on the<span><math><mi>p</mi></math></span>-subgroups of <span><math><mi>G</mi></math></span> and <span><math><msup><mrow><mi>G</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> which determine if their <span><math><mi>p</mi></math></span>-completions <span><math><mi>B</mi><msubsup><mrow><mi>G</mi></mrow><mrow><mi>p</mi></mrow><mrow><mo>∧</mo></mrow></msubsup></math></span> and <span><math><mi>B</mi><msubsup><mrow><mi>G</mi></mrow><mrow><mi>p</mi></mrow><mrow><mo>′</mo><mo>∧</mo></mrow></msubsup></math></span> are stably homotopy equivalent.</p></div>","PeriodicalId":54424,"journal":{"name":"Topology","volume":"48 ","pages":"Pages eS1-eS4"},"PeriodicalIF":0.0000,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.top.2010.10.001","citationCount":"0","resultStr":"{\"title\":\"Corrigendum to “Stable homotopy classification of BGp∧” [Topology 34 (1995) 633–649]\",\"authors\":\"John Martino , Stewart Priddy\",\"doi\":\"10.1016/j.top.2010.10.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this note we correct one argument in the proof of Theorem 1.1 of our paper Martino and Priddy (1995) <span>[1]</span>, given as <span>Theorem 1</span> below. Let <span><math><mi>G</mi></math></span>, <span><math><msup><mrow><mi>G</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> be finite groups and <span><math><mi>p</mi></math></span> be a prime number. The goal is to give necessary and sufficient algebraic conditions on the<span><math><mi>p</mi></math></span>-subgroups of <span><math><mi>G</mi></math></span> and <span><math><msup><mrow><mi>G</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> which determine if their <span><math><mi>p</mi></math></span>-completions <span><math><mi>B</mi><msubsup><mrow><mi>G</mi></mrow><mrow><mi>p</mi></mrow><mrow><mo>∧</mo></mrow></msubsup></math></span> and <span><math><mi>B</mi><msubsup><mrow><mi>G</mi></mrow><mrow><mi>p</mi></mrow><mrow><mo>′</mo><mo>∧</mo></mrow></msubsup></math></span> are stably homotopy equivalent.</p></div>\",\"PeriodicalId\":54424,\"journal\":{\"name\":\"Topology\",\"volume\":\"48 \",\"pages\":\"Pages eS1-eS4\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.top.2010.10.001\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0040938310000121\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topology","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0040938310000121","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
在本文中,我们纠正了论文Martino and Priddy(1995)[1]中证明定理1.1中的一个论点,即下面的定理1。设G G '是有限群p是素数。目的是给出G和G '的p-子群BGp∧和BGp '∧是否稳定同伦等价的充分必要代数条件。
Corrigendum to “Stable homotopy classification of BGp∧” [Topology 34 (1995) 633–649]
In this note we correct one argument in the proof of Theorem 1.1 of our paper Martino and Priddy (1995) [1], given as Theorem 1 below. Let , be finite groups and be a prime number. The goal is to give necessary and sufficient algebraic conditions on the-subgroups of and which determine if their -completions and are stably homotopy equivalent.