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Science China Mathematics, 2012
Let \(F/k\) be a normal extension of number fields with Galois group \(G\). If in the Brauer-Kuroda relation of the Dedekind zeta functions of intermediate fields of \(F/k\) the zeta function of \(F\) does not appear (this only depends on \(G\)), then the group \(G\) is said to be exceptional (see \textit{J. Browkin} et al. [Bull. Pol. Acad. Sci., Math.
Browkin, Jerzy, Xu, Kejian
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Let \(F/k\) be a normal extension of number fields with Galois group \(G\). If in the Brauer-Kuroda relation of the Dedekind zeta functions of intermediate fields of \(F/k\) the zeta function of \(F\) does not appear (this only depends on \(G\)), then the group \(G\) is said to be exceptional (see \textit{J. Browkin} et al. [Bull. Pol. Acad. Sci., Math.
Browkin, Jerzy, Xu, Kejian
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Advanced Materials Research, 2014
<p>A finite group is called exceptional if for a Galois extension of number fields with the Galois groups , the zeta function of between and does not appear in the Brauer-Kuroda relation of the Dedekind zeta functions. Furthermore, a finite group is called very exceptional if its nontrivial subgroups are all exceptional. In this paper，a Nilpotent
Xiao Yu Liang, Xin Zhang
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<p>A finite group is called exceptional if for a Galois extension of number fields with the Galois groups , the zeta function of between and does not appear in the Brauer-Kuroda relation of the Dedekind zeta functions. Furthermore, a finite group is called very exceptional if its nontrivial subgroups are all exceptional. In this paper，a Nilpotent
Xiao Yu Liang, Xin Zhang
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Bulletin of the Australian Mathematical Society, 2018
For a finite group $G$, denote by $\unicode[STIX]{x1D707}(G)$ the degree of a minimal permutation representation of $G$. We call $G$ exceptional if there is a normal subgroup $N\unlhd G$ with $\unicode[STIX]{x1D707}(G/N)>\unicode[STIX]{x1D707}(G)$. To complete the work of Easdown and Praeger [‘On minimal faithful permutation ...
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For a finite group $G$, denote by $\unicode[STIX]{x1D707}(G)$ the degree of a minimal permutation representation of $G$. We call $G$ exceptional if there is a normal subgroup $N\unlhd G$ with $\unicode[STIX]{x1D707}(G/N)>\unicode[STIX]{x1D707}(G)$. To complete the work of Easdown and Praeger [‘On minimal faithful permutation ...
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Simple endotrivial modules for linear, unitary and exceptional groups
, 2015Motivated by a recent result of Robinson showing that simple endotrivial modules essentially come from quasi-simple groups we classify such modules for finite special linear and unitary groups as well as for exceptional groups of Lie type.
Caroline Lassueur, Gunter Malle
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, 2020
To study the effect of cation groups on the alkaline stability and other properties of anion exchange membranes (AEMs), common quaternary ammonium (QA), N-alicyclic quaternary ammonium and imidazolium cations with bulky substituents were grafted onto an ...
Kuan Yang +8 more
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To study the effect of cation groups on the alkaline stability and other properties of anion exchange membranes (AEMs), common quaternary ammonium (QA), N-alicyclic quaternary ammonium and imidazolium cations with bulky substituents were grafted onto an ...
Kuan Yang +8 more
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Almost Recognizability by Spectrum of Simple Exceptional Groups of Lie Type
, 2014The spectrum of a finite group is the set of its elements orders. Groups are said to be isospectral if their spectra coincide. For every finite simple exceptional group L = E7(q), we prove that each finite group isospectral to L is isomorphic to a group ...
A. Vasil’ev, A. Staroletov
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Calculations in exceptional groups over rings
Journal of Mathematical Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luzgarev, A., Stepanov, A., Vavilov, N.
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Calculations in Exceptional Groups, an Update
Journal of Mathematical Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luzgarev, A., Vavilov, N.
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Simple exceptional groups of Lie type are determined by their character degrees
, 2011Let G be a finite group. Denote by Irr(G) the set of all irreducible complex characters of G. Let $${{\rm cd}(G)=\{\chi(1)\;|\;\chi\in {\rm Irr}(G)\}}$$ be the set of all irreducible complex character degrees of G forgetting multiplicities, and let X1(G)
H. Tong‐Viet
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2009
It is the aim of this chapter to describe the ten families of so-called ‘exceptional groups of Lie type’. There are three main ways to approach these groups. The first is via Lie algebras, as is wonderfully developed in Carter’s book 21. The second, more modern, approach is via algebraic groups (see for example Geck’s book ‘Introduction to algebraic ...
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It is the aim of this chapter to describe the ten families of so-called ‘exceptional groups of Lie type’. There are three main ways to approach these groups. The first is via Lie algebras, as is wonderfully developed in Carter’s book 21. The second, more modern, approach is via algebraic groups (see for example Geck’s book ‘Introduction to algebraic ...
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