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GMJ volume 65 issue 1 Cover and Back matter GMJ第65卷第1期封面和封底
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-12-07 DOI: 10.1017/s0017089522000362
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引用次数: 0
Galois representations of superelliptic curves 超椭圆曲线的Galois表示
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-11-24 DOI: 10.1017/S0017089522000386
Ariel Pacetti, Angel Villanueva
{"title":"Galois representations of superelliptic curves","authors":"Ariel Pacetti, Angel Villanueva","doi":"10.1017/S0017089522000386","DOIUrl":"https://doi.org/10.1017/S0017089522000386","url":null,"abstract":"Abstract A superelliptic curve over a discrete valuation ring \u0000$mathscr{O}$\u0000 of residual characteristic p is a curve given by an equation \u0000$mathscr{C};:; y^n=,f(x)$\u0000 , with \u0000$textrm{Disc}(,f)neq 0$\u0000 . The purpose of this article is to describe the Galois representation attached to such a curve under the hypothesis that f(x) has all its roots in the fraction field of \u0000$mathscr{O}$\u0000 and that \u0000$p nmid n$\u0000 . Our results are inspired on the algorithm given in Bouw and WewersGlasg (Math. J. 59(1) (2017), 77–108.) but our description is given in terms of a cluster picture as defined in Dokchitser et al. (Algebraic curves and their applications, Contemporary Mathematics, vol. 724 (American Mathematical Society, Providence, RI, 2019), 73–135.).","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48469136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
$L^p$ harmonic 1-forms on hypersurfaces with finite index 有限指数超曲面上的L^p调和1型
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-11-02 DOI: 10.1017/S0017089522000313
Xiaoli Chao, B. Shen, Miaomiao Zhang
{"title":"$L^p$\u0000 harmonic 1-forms on hypersurfaces with finite index","authors":"Xiaoli Chao, B. Shen, Miaomiao Zhang","doi":"10.1017/S0017089522000313","DOIUrl":"https://doi.org/10.1017/S0017089522000313","url":null,"abstract":"Abstract In the present note, we establish a finiteness theorem for \u0000$L^p$\u0000 harmonic 1-forms on hypersurfaces with finite index, which is an extension of the result of Choi and Seo (J. Geom. Phys. 129 (2018), 125–132).","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42791682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A characterization of potent rings 强环的一个性质
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-11-02 DOI: 10.1017/S0017089522000325
Greg Oman
{"title":"A characterization of potent rings","authors":"Greg Oman","doi":"10.1017/S0017089522000325","DOIUrl":"https://doi.org/10.1017/S0017089522000325","url":null,"abstract":"Abstract An associative ring R is called potent provided that for every \u0000$xin R$\u0000 , there is an integer \u0000$n(x)>1$\u0000 such that \u0000$x^{n(x)}=x$\u0000 . A celebrated result of N. Jacobson is that every potent ring is commutative. In this note, we show that a ring R is potent if and only if every nonzero subring S of R contains a nonzero idempotent. We use this result to give a generalization of a recent result of Anderson and Danchev for reduced rings, which in turn generalizes Jacobson’s theorem.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49423086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Cohomology in singular blocks of parabolic category $mathcal{O}$ 抛物范畴的奇异块上同调
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-10-05 DOI: 10.1017/S0017089523000113
Jonathan Gruber
{"title":"Cohomology in singular blocks of parabolic category \u0000$mathcal{O}$","authors":"Jonathan Gruber","doi":"10.1017/S0017089523000113","DOIUrl":"https://doi.org/10.1017/S0017089523000113","url":null,"abstract":"Abstract We determine the dimensions of \u0000$textrm{Ext}$\u0000 -groups between simple modules and dual generalized Verma modules in singular blocks of parabolic versions of category \u0000$mathcal{O}$\u0000 for complex semisimple Lie algebras and affine Kac-Moody algebras.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42532523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
GMJ volume 64 issue 3 Cover and Front matter GMJ第64卷第3期封面和封面问题
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-08-05 DOI: 10.1017/s001708952200026x
{"title":"GMJ volume 64 issue 3 Cover and Front matter","authors":"","doi":"10.1017/s001708952200026x","DOIUrl":"https://doi.org/10.1017/s001708952200026x","url":null,"abstract":"","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48683032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
GMJ volume 64 issue 3 Cover and Back matter GMJ第64卷第3期封面和封底
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-08-05 DOI: 10.1017/s0017089522000271
{"title":"GMJ volume 64 issue 3 Cover and Back matter","authors":"","doi":"10.1017/s0017089522000271","DOIUrl":"https://doi.org/10.1017/s0017089522000271","url":null,"abstract":"","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46044824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An extension of the van Hemmen–Ando norm inequality van Hemmen-Ando范数不等式的推广
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-08-03 DOI: 10.1017/S0017089522000155
H. Najafi
{"title":"An extension of the van Hemmen–Ando norm inequality","authors":"H. Najafi","doi":"10.1017/S0017089522000155","DOIUrl":"https://doi.org/10.1017/S0017089522000155","url":null,"abstract":"Abstract Let $C_{||.||}$ be an ideal of compact operators with symmetric norm $||.||$ . In this paper, we extend the van Hemmen–Ando norm inequality for arbitrary bounded operators as follows: if f is an operator monotone function on $[0,infty)$ and S and T are bounded operators in $mathbb{B}(mathscr{H};,)$ such that ${rm{sp}}(S),{rm{sp}}(T) subseteq Gamma_a={zin mathbb{C} | {rm{re}}(z)geq a}$ , then begin{equation*}||f(S)X-Xf(T)|| leq;f'(a) ||SX-XT||,end{equation*} for each $Xin C_{||.||}$ . In particular, if ${rm{sp}}(S), {rm{sp}}(T) subseteq Gamma_a$ , then begin{equation*}||S^r X-XT^r|| leq r a^{r-1} ||SX-XT||,end{equation*} for each $Xin C_{||.||}$ and for each $0leq rleq 1$ .","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42693663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Polyhedral groups in $textbf{G}_{textbf{2}}(mathbb C)$ $textbf中的多面体群{G}_｛textbf｛2｝｝（mathbb C）$
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-07-30 DOI: 10.1017/S0017089522000283
V. Knibbeler, S. Lombardo, Casper Oelen
{"title":"Polyhedral groups in \u0000$textbf{G}_{textbf{2}}(mathbb C)$","authors":"V. Knibbeler, S. Lombardo, Casper Oelen","doi":"10.1017/S0017089522000283","DOIUrl":"https://doi.org/10.1017/S0017089522000283","url":null,"abstract":"Abstract We classify embeddings of the finite groups \u0000$A_4$\u0000 , \u0000$S_4$\u0000 and \u0000$A_5$\u0000 in the Lie group \u0000$G_2(mathbb C)$\u0000 up to conjugation.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44837446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Continuously many quasi-isometry classes of residually finite groups 剩余有限群的连续多个拟等距类
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-07-01 DOI: 10.1017/S0017089523000137
Hip Kuen Chong, D. Wise
{"title":"Continuously many quasi-isometry classes of residually finite groups","authors":"Hip Kuen Chong, D. Wise","doi":"10.1017/S0017089523000137","DOIUrl":"https://doi.org/10.1017/S0017089523000137","url":null,"abstract":"Abstract We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of \u0000$F_2$\u0000 depending on a subset \u0000$S$\u0000 of positive integers. Varying \u0000$S$\u0000 yields continuously many groups up to quasi-isometry.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47787431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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