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Classification of All Parabolic Subgroup-Schemes of a Reductive Linear Algebraic Group Over an Algebraically Closed Field

Transactions of the American Mathematical Society, 1993
Let \(G\) be a connected reductive linear algebraic group over an algebraically closed field \(K\) of characteristic \(p>0\). The nonreduced subgroup schemes of \(G\) are considered in this paper, more precisely, the parabolic ones (i.e. those containing a Borel subgroup). For instance, if \(G=SL_ 2\), then \(P_ n=\text{Spec } K[x,y,z,w]/ (z^{p^ n}, xw-
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Source algebra equivalences for blocks¶of finite general linear groups over a fixed field

manuscripta mathematica, 2001
Let \(q\) be a prime power, let \(p\) be a prime not dividing \(q\), and let \(D\) be a finite \(p\)-group. The author shows that the source algebras of unipotent \(p\)-blocks of \(\text{GL}(n,q)\) with defect group \(D\), as \(n\) varies, fall into finitely many isomorphism classes.
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The Sylow p-Subgroups of a Limiting (Stable) Linear Group over an Algebraically Closed Field

Acta Applicandae Mathematica, 1998
The author classifies the Sylow \(p\)-subgroups of the stable general linear group \(G\) of countable degree over an algebraically closed field of characteristic not \(p\). Each isomorphism type of Sylow \(p\)-subgroup of \(G\) is characterized by a \(p\)-adic integer and a (finite or) countable cardinal.
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Linear independence of values ofE-functions related by a single algebraic equation over the field of rational functions

Mathematical Notes, 1995
Let \(f_1(z), \dots, f_m(z)\) be \(KE\)-functions satisfying a system of linear homogeneous differential equations and \(A\) denote the field of all algebraic numbers. Assume \(f_1(z), \dots, f_m(z)\) are linearly independent over \(\mathbb{C}(z)\) of homogeneous transcendence degree \(m-1\). Further let \[ P(z,x_1, \dots, x_m)\in K[z] [x_1, \dots, x_m]
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On the completion of Quasi-fuzzy normed algebra over fuzzy field

Journal of Interdisciplinary Mathematics, 2020
Boushra Youssif Hussein
exaly  

Computer algebra in gravity research

Living Reviews in Relativity, 2018
Malcolm A H Maccallum
exaly  

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