Some resolutions of S(5, 8, 24)

The Artin conjecture for some S5-extensions

We establish some new cases of Artin’s conjecture. Our results apply to Galois representations over Q with image S5 satisfying certain local hypotheses, the most important of which is that complex conjugation is conjugate to (12)(34). In fact, we prove the stronger claim conjectured by Langlands that these representations are automorphic. For the irreducible representations of dimensions 4 and ...

Age303s-24-74764-8 24..32

24/8 BC layout

principle that most of us are linked by short chains of acquaintances — was first investigated as a question in sociology and is a feature of a range of networks arising in nature and technology. Experimental study of the phenomenon revealed that it has two fundamental components: first, such short chains are ubiquitous, and second, individuals operating with purely local information are very a...

24/8 BC layout

principle that most of us are linked by short chains of acquaintances — was first investigated as a question in sociology and is a feature of a range of networks arising in nature and technology. Experimental study of the phenomenon revealed that it has two fundamental components: first, such short chains are ubiquitous, and second, individuals operating with purely local information are very a...

24/8 BC layout

principle that most of us are linked by short chains of acquaintances — was first investigated as a question in sociology and is a feature of a range of networks arising in nature and technology. Experimental study of the phenomenon revealed that it has two fundamental components: first, such short chains are ubiquitous, and second, individuals operating with purely local information are very a...