{"title":"Irreducibilities of the Induced Characters of Cyclic p-Groups","authors":"K. Sekiguchi","doi":"10.32917/HMJ/1151007554","DOIUrl":"https://doi.org/10.32917/HMJ/1151007554","url":null,"abstract":"","PeriodicalId":267320,"journal":{"name":"Mathematical journal of Okayama University","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128899131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A technique of numerical production of a sequence of pseudo-prime numbers","authors":"Masataka Yorinaga","doi":"10.18926/MJOU/33423","DOIUrl":"https://doi.org/10.18926/MJOU/33423","url":null,"abstract":"","PeriodicalId":267320,"journal":{"name":"Mathematical journal of Okayama University","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1976-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126547019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Some Properties of Group Characters","authors":"Masaru Osima","doi":"10.3792/PJA/1195524148","DOIUrl":"https://doi.org/10.3792/PJA/1195524148","url":null,"abstract":"","PeriodicalId":267320,"journal":{"name":"Mathematical journal of Okayama University","volume":"34 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1960-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113974270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A note on Galois theory of division rings","authors":"Mikao Moriya, Takasi Nagahara, H. Tominaga","doi":"10.3792/PJA/1195525539","DOIUrl":"https://doi.org/10.3792/PJA/1195525539","url":null,"abstract":"","PeriodicalId":267320,"journal":{"name":"Mathematical journal of Okayama University","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1957-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125440484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Galois theory of division rings","authors":"Takasi Nagahara, H. Tominaga","doi":"10.3792/PJA/1195525432","DOIUrl":"https://doi.org/10.3792/PJA/1195525432","url":null,"abstract":"Recently N. Nobusawa has succeeded to generalize Krull’s Galois theory for fields of infinite degree o division rings. But in his paper he discussed separately the compac Galois group and the discrete Galois group. In our investigation, considering the locally compact case, we can discuss the above wo cases a he same ime, moreover the discussion will present a generalization of Nobusawa’s theory. In his note, we shall state our results withou proofs.","PeriodicalId":267320,"journal":{"name":"Mathematical journal of Okayama University","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1956-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116921886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Theorie der 2-Kohomologiegruppen in diskret bewerteten perfekten Körpern","authors":"Mikao Moriya","doi":"10.3792/PJA/1195525911","DOIUrl":"https://doi.org/10.3792/PJA/1195525911","url":null,"abstract":"","PeriodicalId":267320,"journal":{"name":"Mathematical journal of Okayama University","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1955-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132718036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Indecomposability of various profinite groups arising from hyperbolic curves","authors":"Arata Minamide","doi":"10.14989/DOCTOR.K20158","DOIUrl":"https://doi.org/10.14989/DOCTOR.K20158","url":null,"abstract":"In this paper, we prove that the etale fundamental group of a hyperbolic curve over an arithmetic field [e.g., a finite extension field of Q or Qp] or an algebraically closed field is indecomposable [i.e., cannot be decomposed into the direct product of nontrivial profinite groups]. Moreover, in the case of characteristic zero, we also prove that the etale fundamental group of the configuration space of a curve of the above type is indecomposable. Finally, we consider the topic of indecomposability in the context of the comparison of the absolute Galois group of Q with the Grothendieck-Teichmuller group GT and pose the question: Is GT indecomposable? We give an affirmative answer to a pro-l version of this question","PeriodicalId":267320,"journal":{"name":"Mathematical journal of Okayama University","volume":"46 24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126755991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Melissa J. Lavallee, B. K. Spearman, K. Williams, Qiduan Yang
{"title":"DIHEDRAL QUINTIC FIELDS WITH A POWER BASIS","authors":"Melissa J. Lavallee, B. K. Spearman, K. Williams, Qiduan Yang","doi":"10.14288/1.0066793","DOIUrl":"https://doi.org/10.14288/1.0066793","url":null,"abstract":"to be monogenic. Dummit and Kisilevsky[4] have shown that there exist infinitely many cyclic cubic fields whichare monogenic. The same has been shown for non-cyclic cubic fields, purequartic fields, bicyclic quartic fields, dihedral quartic fields by Spearman andWilliams [15], Funakura [6], Nakahara [14], Huard, Spearman and Williams[10] respectively. It is not known if there are infinitely many monogeniccyclic quartic fields. If","PeriodicalId":267320,"journal":{"name":"Mathematical journal of Okayama University","volume":"35 22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120952358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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