Vector invariant fields of finite classical groups
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DOI: 10.1016/j.jalgebra.2019.05.032
Abstract: Let $W$ be an $n$-dimensional vector space over a finite field $\mathbb{F}_q$ of any characteristic and $mW$ denote the direct sum of $m$ copies of $W$. Let $\mathbb{F}_q[mW]^{{\rm GL}(W)}$ and $\mathbb{F}_q(mW)^{{\rm GL}(W)}$ denote the vector… read more here.
Keywords: finite classical; fields finite; vector invariant; invariant fields ... See more keywords
Automorphisms of quasi-projective surfaces over fields of finite characteristic
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DOI: 10.1016/j.jalgebra.2021.12.010
Abstract: We prove that the group of automorphisms of any quasi-projective surface S in finite characteristic has the p-Jordan property. Also we give a list of examples which can possibly lead to a construction of a… read more here.
Keywords: quasi projective; automorphisms quasi; fields finite; finite characteristic ... See more keywords
Modal pencil method for the radiation of guided wave fields in finite isotropic plates validated by a transient spectral finite element method.
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DOI: 10.1016/j.ultras.2020.106078
Abstract: Elastic guided waves (GW) can be profitably used in non-destructive evaluation and in structural health monitoring of plate-like structures. Nevertheless, the multi-modal and dispersive behaviour of GW often leads to difficult interpretation of typically measured… read more here.
Keywords: finite element; modal pencil; method; pencil method ... See more keywords