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For a G-covering Y → Y/G = X induced by a properly discontinuous action of a group G on a topological space Y, there is a natural action of π(X,x) on the set F of points in Y with nontrivial stabilizers in G. We study the covering of X obtained from the universal covering of X and the left action of π(X,x) on F. We find a formula for the number of fixed points of an element g ∈ G which is a generalization of Macbeath's formula applied to an automorphism of a Riemann surface. We give a new method...

There are no Phantom Pairs of Mappings to 1-Dimensional CW-Complexes

Sibe Mardešić (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

Two mappings from a CW-complex to a 1-dimensional CW-complex are homotopic if and only if their restrictions to finite subcomplexes are homotopic.

There are ternary circular square-free words of length $n$ for $n \geq$ 18.

Currie, James D. (2002)

The Electronic Journal of Combinatorics [electronic only]

Theta constants of genus three

J. P. Glass (1980)

Compositio Mathematica

Theta pairs and the structure of finite groups.

Li, Xianhua, Li, Shiheng (2004)

Sibirskij Matematicheskij Zhurnal

Thick subcategories of the stable module category

D. Benson, Jon Carlson, Jeremy Rickard (1997)

Fundamenta Mathematicae

We study the thick subcategories of the stable category of finitely generated modules for the principal block of the group algebra of a finite group G over a field of characteristic p. In case G is a p-group we obtain a complete classification of the thick subcategories. The same classification works whenever the nucleus of the cohomology variety is zero. In case the nucleus is nonzero, we describe some examples which lead us to believe that there are always infinitely many thick subcategories concentrated...

Thompson’s conjecture for the alternating group of degree $2 p$ and $2 p + 1$

Azam Babai, Ali Mahmoudifar (2017)

Czechoslovak Mathematical Journal

For a finite group $G$ denote by $N (G)$ the set of conjugacy class sizes of $G$ . In 1980s, J. G. Thompson posed the following conjecture: If $L$ is a finite nonabelian simple group, $G$ is a finite group with trivial center and $N (G) = N (L)$ , then $G ≅ L$ . We prove this conjecture for an infinite class of simple groups. Let $p$ be an odd prime. We show that every finite group $G$ with the property $Z (G) = 1$ and $N (G) = N (A_{i})$ is necessarily isomorphic to $A_{i}$ , where $i \in {2 p, 2 p + 1}$ .

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Displaying 681 – 700 of 855

Théorèmes sur les groupes de substitutions

Théorèmes sur les groupes primitifs.

Theorems on groups of finite Morley rank analogous to theorems on finite groups.

Théorie de Schreier supérieure

Théorie des blocs

Théorie des classes dans un demi-groupe involutif.

Theorie des congruences premieres.

Théorie des Demi-Groupes Hyperperiodiques ? Applications aux Demi-Groupes n-Potents.

Théorie des groupoïdes symplectiques

Theorien abelscher Gruppen mit einem einstelligen Prädikat

Theory of coverings in the study of Riemann surfaces