{"title":"波维尔p群:一项调查","authors":"B. Fairbairn","doi":"10.1017/9781108692397.012","DOIUrl":null,"url":null,"abstract":"Beauville surfaces are a class of complex surfaces defined by letting a finite group \nG act on a product of Riemann surfaces. These surfaces possess many attractive \ngeometric properties several of which are dictated by properties of the group G. \nIn this survey we discuss the p-groups that may be used in this way. En route we \ndiscuss several open problems, questions and conjectures.","PeriodicalId":148530,"journal":{"name":"Groups St Andrews 2017 in Birmingham","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Beauville p-Groups: A Survey\",\"authors\":\"B. Fairbairn\",\"doi\":\"10.1017/9781108692397.012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Beauville surfaces are a class of complex surfaces defined by letting a finite group \\nG act on a product of Riemann surfaces. These surfaces possess many attractive \\ngeometric properties several of which are dictated by properties of the group G. \\nIn this survey we discuss the p-groups that may be used in this way. En route we \\ndiscuss several open problems, questions and conjectures.\",\"PeriodicalId\":148530,\"journal\":{\"name\":\"Groups St Andrews 2017 in Birmingham\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Groups St Andrews 2017 in Birmingham\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/9781108692397.012\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups St Andrews 2017 in Birmingham","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/9781108692397.012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Beauville surfaces are a class of complex surfaces defined by letting a finite group
G act on a product of Riemann surfaces. These surfaces possess many attractive
geometric properties several of which are dictated by properties of the group G.
In this survey we discuss the p-groups that may be used in this way. En route we
discuss several open problems, questions and conjectures.