Bastos, R. Matos, H. Seimetz, R.
Published in
Archiv der Mathematik

In this paper we study factorizable groups. An extension of a famous theorem of H. Wielandt on groups factorizable by two nilpotent subgroups of relatively prime orders is obtained. We also present a variant of a theorem of A. Gonçalves and C. Y. Ho.

Shi, Yecheng Li, Songxiao
Published in
Archiv der Mathematik

Let λi(i=1,…,k)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda _i (i=1,\ldots ,k)$$\end{document} be nonzero complex scalars and φi(i=1,..,k)\documentclass[12pt...

Han, Shi-An Zhou, Ze-Hua
Published in
Archiv der Mathematik

Let Sp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S^p$$\end{document} be the space of holomorphic functions whose derivative lies in the classical Hardy space Hp\do...

Lin, Qingze
Published in
Archiv der Mathematik

We note that the main results (Proposition 1, Proposition 2, and Theorem 1) in [1] are only true for.

Selmi, Ridha Châabani, Abdelkerim
Published in
Archiv der Mathematik

We prove that the three-dimensional periodic Burgers’ equation has a unique global in time solution in a critical Gevrey–Sobolev space. Comparatively to Navier–Stokes equations, the main difficulty is the lack of an incompressibility condition. In our proof of existence, we overcome the bootstrapping argument, which was a technical step in a preced...

Niemeyer, Alice C. Pannek, Sabina B. Praeger, Cheryl E.
Published in
Archiv der Mathematik

We call an element of a finite general linear group GL(d, q) fat if it leaves invariant and acts irreducibly on a subspace of dimension greater than d/2. Fatness of an element can be decided efficiently in practice by testing whether its characteristic polynomial has an irreducible factor of degree greater than d/2. We show that for groups G with S...

Dolžan, David
Published in
Archiv der Mathematik

We prove a formula for the number of representations of an element in a finite basic ring as a sum of k exceptional units and find bounds for this number in an arbitrary finite ring with identity.

Pérez, Sergio A. Rincón-Villamizar, Michael A.
Published in
Archiv der Mathematik

The space L(X,Y)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathcal {L}}}(X, Y)$$\end{document} stands for the Banach space of all bounded linear operators from ...

Baldi, Gregorio
Published in
Archiv der Mathematik

Recently S. Patrikis, J.F. Voloch, and Y. Zarhin have proven, assuming several well-known conjectures, that the finite descent obstruction holds on the moduli space of principally polarised abelian varieties. We show an analogous result for K3 surfaces, under some technical restrictions on the Picard rank. This is possible since abelian varieties a...

Truong, Hoang Le
Published in
Archiv der Mathematik

In this paper, our purpose is to give a characterization of a sequentially Cohen–Macaulay module, which was introduced by Stanley (Combinatorics and Commutative Algebra, 2nd edn, Birkhäuser, Boston, 1996), in terms of its index of reducibility of parameter ideals, which was given by Noether in 1921 (Math Ann 83:24–66, 1921). This applies in particu...