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Holonomy groups of five dimensional Bieberbach groups.

Andrzej Szczepanski — 1996

Manuscripta mathematica

Five dimensional Bieberbach groups with trivial centre.

Andrzej Szczepanski — 1990

Manuscripta mathematica

High-dimensional knots corresponding to the fractional Fibonacci groups

Andrzej Szczepański; Andreĭ Vesnin — 1999

Fundamenta Mathematicae

We prove that the natural HNN-extensions of the fractional Fibonacci groups are the fundamental groups of high-dimensional knot complements. We also give some characterization and interpretation of these knots. In particular we show that some of them are 2-knots.

Holonomy groups of flat manifolds with the $R_{\infty}$ property

Rafał Lutowski; Andrzej Szczepański — 2013

Fundamenta Mathematicae

Let M be a flat manifold. We say that M has the $R_{\infty}$ property if the Reidemeister number R(f) is infinite for every homeomorphism f: M → M. We investigate relations between the holonomy representation ρ of M and the $R_{\infty}$ property. When the holonomy group of M is solvable we show that if ρ has a unique ℝ-irreducible subrepresentation of odd degree then M has the $R_{\infty}$ property. This result is related to Conjecture 4.8 in [K. Dekimpe et al., Topol. Methods Nonlinear Anal. 34 (2009)].

Examples of non connective C*-algebras

Anna Gąsior; Andrzej Szczepański — 2021

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder's and Banach's fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.

Outer automorphism groups of Bieberbach groups.

Szczepański, Andrzej — 1996

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Currently displaying 1 – 6 of 6

Holonomy groups of five dimensional Bieberbach groups.

Five dimensional Bieberbach groups with trivial centre.

High-dimensional knots corresponding to the fractional Fibonacci groups

Holonomy groups of flat manifolds with the $R_{\infty}$ property

Examples of non connective C*-algebras

Outer automorphism groups of Bieberbach groups.

Advanced Search

Formula preview

Currently displaying 1 – 6 of 6

Holonomy groups of five dimensional Bieberbach groups.

Five dimensional Bieberbach groups with trivial centre.

High-dimensional knots corresponding to the fractional Fibonacci groups

Holonomy groups of flat manifolds with the R ∞ property

Examples of non connective C*-algebras

Outer automorphism groups of Bieberbach groups.

Holonomy groups of flat manifolds with the $R_{\infty}$ property