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Brauerの「Selection of P-Regular Classes」の応用 (有限群論とその周辺)

Brauerの「Selection of P-Regular Classes」の応用 (有限群論とその周辺)
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A New Class of Lyapunov Functions for Stability Analysis of Singular Dynamical Systems. Elements of p-Regularity Theory

Doklady Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Evtushenko, Yu. G., Tret'yakov, A. A.
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Structure of $$p$$ -complements in groups with three $$p$$ -regular class sizes

Monatshefte für Mathematik, 2012
This research is supported by the Spanish Government, Proyecto MTM2010-19938-C03-02 and by the Valencian Government, Proyecto PROMETEO/2011/30. The first author is also supported by grant Fundacio Caixa-Castello P11B2010-47.
Beltrán, Antonio, Felipe Román, María Josefa   +1 more
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On p-parts of Brauer character degrees and p-regular conjugacy class sizes of finite groups

Journal of Algebra, 2020
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Bessenrodt, Christine, Yang, Yong
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L^p-regularity for a Class of Pseudodifferential Operators in R^n

Journal of Partial Differential Equations, 2005
We study here a class of pseudodifferential operators with weighted symbols of Shubin type. First, we develop the basic elements of the pseudodifferential calculus for these operators, proving in particular a result of L^p -boundedness. Then we derive regularity results in the frame of suitably defined functional spaces of Sobolev type.
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On the p -regular G-conjugacy classes with sizes 1 or minimal

Quaestiones Mathematicae, 2020
No Abstract.
Zhao, Xianhe, Zhou, Yanyan, Chen, Ruifang, Huang, Qin   +3 more
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New results on maximal $$L^p$$-regularity of a class of integrodifferential equations

Archiv der Mathematik
The authors investigate the following integro-differential equation in a Banach space \(X\): \[ u'(t)=Au(t)+\int_0^ta(t-s)Cu(s)\, ds + f(t), \qquad t\ge 0, \ u(0)=x, \] where \(A:D(A)\subset X\to X\) is the generator of a strongly continuous semigroup \(\{T(t):X\to X; \, t\ge 0\}\), \(a(\cdot )\in L^r(\mathbb{R}^+)\) is a scalar function for \(r\in (1,+
H. Bounit, S. Hadd, Y. Manar
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Interior W 1,p Regularity and Hölder Continuity of Weak Solutions to a Class of Divergence Kolmogorov Equations with Discontinuous Coefficients

Milan Journal of Mathematics, 2013
In this paper, the authors consider a class of Kolmogorov equation in divergence form defined in a bounded open domain of \(\mathbf R^{N+1}\). Equations of this form have applications in the theory of stochastic processes, in the kinetic theory and in mathematical finance. They have been widely studied by Lanconelli and his school.
Zhu, Maochun, Niu, Pengcheng
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Structure of р-Solvable Groups With Three р-Regular Classes

Canadian Journal of Mathematics, 1991
One of the important invariants of a р-block B of a group algebra is ℓ (B), the number of non-isomorphic simple B-modules. A number of authors calculated ℓ (B) for various types of defect groups of B. In particular, by Olsson [6], it has been proved that if p = 2 and the defect groups of the block B are dihedral or semi-dihedral or generalized ...
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Finite groups with exactly threep-regular classes

Archiv der Mathematik, 1991
The following Theorem is proved: Let \(G\) be a finite nonsolvable group with \(O_ p(G)=1\). If \(G\) has exactly three \(p'\)-conjugacy classes, then either \(p=2\) and \(G \cong \Sigma_ 5\), \(PGL_ 2(7)\), \(M_{10}\), \(P \Gamma L_ 2(9)\) or \(p=3\) and \(G \cong P \Gamma L_ 2(8)\) or \(p=5\) and \(G \cong A_ 5\).
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