相关论文: Topological characterization of torus groups

We compute Euler characteristics of p-subgroup categories of finite groups

We will give another definition of Euler class group of a Noetherian ring.

In this paper we determine automorphism groups of cyclic algebraic curves defined over finite fields of any characteristic.

We demonstrate applications of topological characteristics of oil and gas reservoirs considered as three-dimensional bodies to geological modeling.

A Hausdorff topological group $(G,\tau)$ is called an $s$-group and $\tau$ is called an $s$-topology if there is a set $S$ of sequences in $G$ such that $\tau$ is the finest Hausdorff group topology on $G$ in which every sequence of $S$…

We describe structure of locally finite groups of finite centraliser dimension.

This paper develops a basic theory of H-groups. We introduce a special quotient of H-groups and extend some algebraic constructions of topological groups to the category of H-groups and H-maps. We use these constructions to prove some…

We give the classification of thick representations and dense representations of the symmetric group over a field of characteristic zero.

We characterize all varieties with a torus action of complexity one that admit iteration of Cox rings.

We describe the construction of a class of toric varieties as spectra of homogeneous prime ideals.

In this paper we have discussed the ideals in Abel Grassmann's groupoids and construct their topologies.

We will show the raitonality of some twisted symmetric group actions.

We define new topological invariants for Anosov representations and study them in detail for maximal representations of the fundamental group of a closed oriented surface into the symplectic group.

This note records the order of a higher dimensional Dehn twist in a range of topologically significant groups.

Let $G$ be the fundamental group of the complement of the torus knot of type $(m,n)$. This has a presentation $G=<x,y|x^m=y^n>$. We find the geometric description of the character variety $X(G)$ of characters of representations of $G$ into…

Topological properties of Fortuin-Kasteleyn clusters are studied on the torus. Namely, the probability that their topology yields a given subgroup of the first homology group of the torus is computed for Q=1, 2, 3 and 4. The expressions…

In this paper, some generalized metric properties in strongly topological gyrogroups are studied.

We construct relatively bounded toroidal and toric models of relatively bounded fibrations over curves.

A strongly zero-dimensional topological group containing a closed subgroup of positive covering dimension is constructed.

The mapping torus of an endomorphism \Phi of a group G is the HNN-extension G*_G with bonding maps the identity and \Phi. We show that a mapping torus of an injective free group endomorphism has the property that its finitely generated…