Fesenko reciprocity map

Generalized Fesenko Reciprocity Map

The paper is a natural continuation and generalization of the works of Fesenko and of the authors. Fesenko’s theory is carried over to infinite APF Galois extensions L over a local field K with a finite residue-class field κK of q = p f elements, satisfying μp(K) ⊂ K and K ⊂ L ⊂ Kφd , where the residue-class degree [κL : κK ] is equal to d. More precisely, for such extensions L/K and a fixed Lu...

Fesenko Reciprocity Map

In recent papers, Fesenko has defined the non-Abelian local reciprocity map for every totally ramified arithmetically profinite (APF) Galois extension of a given local field K, by extending the work of Hazewinkel and Neukirch–Iwasawa. The theory of Fesenko extends the previous non-Abelian generalizations of local class field theory given by Koch–de Shalit and by A. Gurevich. In this paper, whic...

Some algebraic number theory and the reciprocity map

Group Reciprocity Group Reciprocity

People exhibit group reciprocity when they retaliate, not against the person who harmed them, but against somebody else in that person's group. Group reciprocity may be a key motivation behind intergroup conflict. We investigated group reciprocity in a laboratory experiment. After a group identity manipulation, subjects played a Prisoner's Dilemma with others from different groups. Subjects the...

Understanding Reciprocity∗

This paper surveys the evolutionary game theoretic literature on reciprocity in human interactions, dealing both with long-term relationships and with sporadic interactions. Four basic themes, repetition, commitment, assortation, and parochialism, appear repeatedly throughout the literature. Repetition can give rise to the evolution of behavior that exhibits reciprocity-like features but a vast...