{"title":"32阶G 38，…，G 41群的Morava K理论环","authors":"M. Bakuradze, M. Jibladze","doi":"10.1017/is013011009jkt245","DOIUrl":null,"url":null,"abstract":"B. Schuster (17) proved that the mod 2 Morava K-theory is good in the sense of Hopkins-Kuhn-Ravenel (12) for all 2-groups G of order 32. As for the missing four groups G with the numbers 38, 39, 40 and 41 in the Hall- Senior list (11), Morava K-theory has been shown to be evenly generated and, for s = 2, to be generated by transferred Chern classes. In this paper we compute the ring structure of K(s) � (BG) for these four groups.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"10 1","pages":"171-198"},"PeriodicalIF":0.0000,"publicationDate":"2014-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Morava K -theory rings for the groups G 38 , …, G 41 of order 32\",\"authors\":\"M. Bakuradze, M. Jibladze\",\"doi\":\"10.1017/is013011009jkt245\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"B. Schuster (17) proved that the mod 2 Morava K-theory is good in the sense of Hopkins-Kuhn-Ravenel (12) for all 2-groups G of order 32. As for the missing four groups G with the numbers 38, 39, 40 and 41 in the Hall- Senior list (11), Morava K-theory has been shown to be evenly generated and, for s = 2, to be generated by transferred Chern classes. In this paper we compute the ring structure of K(s) � (BG) for these four groups.\",\"PeriodicalId\":50167,\"journal\":{\"name\":\"Journal of K-Theory\",\"volume\":\"10 1\",\"pages\":\"171-198\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of K-Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/is013011009jkt245\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of K-Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/is013011009jkt245","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Morava K -theory rings for the groups G 38 , …, G 41 of order 32
B. Schuster (17) proved that the mod 2 Morava K-theory is good in the sense of Hopkins-Kuhn-Ravenel (12) for all 2-groups G of order 32. As for the missing four groups G with the numbers 38, 39, 40 and 41 in the Hall- Senior list (11), Morava K-theory has been shown to be evenly generated and, for s = 2, to be generated by transferred Chern classes. In this paper we compute the ring structure of K(s) � (BG) for these four groups.
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