Results 51 to 60 of about 6,424 (109)

Simple closed curves, non‐kernel homology and Magnus embedding

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We consider the subspace of the homology of a covering space spanned by lifts of simple closed curves. Our main result is the existence of unbranched covers of surfaces where this is a proper subspace. More generally, for a fixed finite solvable quotient of the fundamental group we exhibit a cover whose homology is not generated by the lifts ...
Adam Klukowski
wiley   +1 more source

On Cyclotomic Polynomial Coefficients

, 2020
For a positive integer n > 1 the n-th cyclotomic polynomial is defined by (Formula presented) where ς are the primitive n-th roots of unity. These polynomials are known to possess many interesting properties.
Andrica, D., Bagdasar, O.
core  

Double cosets in algebraic groups

, 1996
In this thesis, I consider the problem of classifying certain orbits of algebraic groups - double cosets. Let H and K be closed subgroups of a simple algebraic group G, defined over an algebraically closed field of arbitrary characteristic p.
Brundan, Jonathan
core   +4 more sources

Witt vectors with coefficients and TR

Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We give a new construction of p$p$‐typical Witt vectors with coefficients in terms of ghost maps and show that this construction is isomorphic to the one defined in terms of formal power series from the authors' previous paper. We show that our construction recovers Kaledin's polynomial Witt vectors in the case of vector spaces over a perfect ...
Emanuele Dotto, Achim Krause, Thomas Nikolaus, Irakli Patchkoria   +3 more
wiley   +1 more source

Wilson's map operations on regulat dessins and cyclotomic fields of definition

, 2009
Dessins d’enfants can be seen as bipartite graphs embedded in compact orientable surfaces. According to Grothendieck and others, a dessin uniquely determines a complex structure on the surface, even an algebraic structure as a projective algebraic curve ...
Streit, M., Wolfart, J., Jones, Gareth, G. A. Jones, et al.   +3 more
core   +1 more source

On the minimal period of integer tilings

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1160-1170, April 2025.
Abstract If a finite set A$A$ tiles the integers by translations, it also admits a tiling whose period M$M$ has the same prime factors as |A|$|A|$. We prove that the minimal period of such a tiling is bounded by exp(c(logD)2/loglogD)$\exp (c(\log D)^2/\log \log D)$, where D$D$ is the diameter of A$A$.
Izabella Łaba, Dmitrii Zakharov
wiley   +1 more source

On the parameterized Tate construction

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension Ĝ$\widehat{G}$ of a finite group G$G$ by a compact Lie group K$K$, which we call the parameterized Tate construction (−)tGK$(-)^{t_G K}$.
J. D. Quigley, Jay Shah
wiley   +1 more source

A Note on Cyclotomic Cosets, an Algorithm for finding Coset Representatives and Size, and a Theorem on the Quantum evaluation of Weight Enumerators for a Certain Class of Cyclic Codes

CoRR, 2007
This note is a stripped down version of a published paper on the Potts partition function, where we concentrate solely on the linear coding aspect of our approach. It is meant as a resource for people interested in coding theory but who do not know much of the mathematics involved and how quantum computation may provide a speed up in the computation of
Joseph Geraci, Frank Van Bussel
openaire   +3 more sources

Totally deranged elements of almost simple groups and invariable generating sets

Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.
Abstract By a classical theorem of Jordan, every faithful transitive action of a non‐trivial finite group has a derangement (an element with no fixed points). The existence of derangements with additional properties has attracted much attention, especially for faithful primitive actions of almost simple groups.
Scott Harper
wiley   +1 more source

An integral formula for the coefficients of the inverse cyclotomic polynomial [PDF]

Some recent advances related to an integral formula for the coefficients of inverse cyclotomic polynomials, including applications and numerical simulations are ...
Andrica, D., Țurcaș, G. C., Bagdasar, O.   +2 more
core   +1 more source