Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 8 of 8 for “"semidirect products"”.
-
Effective multiple mixing in Weyl chamber actions
… coefficients for Weyl chamber actions of semidirect products of semisimple groups with $G$-vector spaces. Using these estimates we get decay for corresponding actions in some semisimple groups of higher rank and homogeneous spaces of semidirect products of real algebraic groups.
-
Monoid Extensions, Relaxed Actions and Cohomology
… that both Artin glueings of frames and λ-semidirect products of inverse semigroups are examples of these extensions. The characterization is given in terms of a generalization of an action. This makes the theory amenable to cohomological ideas. Specifically, a new class of extensions …
-
Topics in categorical algebra and Galois theory
… an overview of the construction of categorical semidirect products and discuss their form in particular semi-abelian varieties. We then give a thorough description of categorical Galois theory, which yields an analogue for the fundamental theorem of Galois theory in an abstract category by …
-
Representations of Fundamental Groups of Abelian Varieties in Characteristic P
… about the number of homomorphisms from certain semidirect products of profinite groups into finite groups. As a corollary, we deduce that when $\lambda=0$, \[\frac{\#\Hom(\pi_1^{\text{\'et}}(A_g),GL_n(\mathbb F_q))}{\#GL_n(\mathbb F_q)}\] is a Laurent polynomial in $q$.
-
On the topological entropy of nilpotent groups of finite rank
… their structure may be described very well by semidirect products. Firstly, we consider the class of locally compact abelian groups that are compactly generated; we recognize a relevant subclass among these, namely the slender groups, and observe that slender groups have very small values of …
-
Optimal control problems on lie groups with symmetry breaking cost functions
… derived by applying Lie-Poisson reduction for semidirect products, a previously developed method of symmetry group reduction in the field of geometric mechanics. Our main contribution is a reduced sufficient condition for optimality that relies on the nonexistence of conjugate points. …
-
Categorical semi-direct products in varieties of groups with multiple operators
The notion of a categorical semidirect product was introduced by Bourn and Janelidze as a generalization of the classical semidirect product in the category of groups. The main aim of this work is to study the general properties of semidirect products of groups with operators, describe them in …
-
Exploring the multiplicative structure of Z/nZ
… provide valuable insight into the actions, semidirect products, endomorphisms, and automorphisms associated with such monoids. Considering the set of homomorphisms of prime power multiplicative modular monoids, with the law operator of the codomain, we identify its algebraic structure as a …