The Absolute Galois Group of a Semi-Local Field

Moshe Jarden is professor emeritus at the School of Mathematics, Tel Aviv University. He obtained his PhD at the Hebrew University, Jerusalem, in 1970, and his Habilitation at Heidelberg University in 1972, where he was a post doc until 1974, before joining Tel Aviv University. He was awarded the L. Meitner–A.v. Humboldt prize in 2001 for his achievements in mathematics. He is the author of two books, Field Arithmetic (for which he was awarded the Landau Prize in 1987) and Algebraic Patching, and he has published 120 research articles. His research is primarily on field arithmetic.Dan Haran is a professor at the School of Mathematics, Tel Aviv University, where he obtained his PhD in 1983. He was a research fellow at the Mathematical Institute in Erlangen (1983–1986), a visiting assistant professor at Rutgers (1985–1986), a senior lecturer at Tel Aviv University (1986–1991), and a fellow at the Hebrew University (1991–1992) and at the Max-Planck-Institut, Bonn (1992–1993) before joining Tel Aviv University in 1991 as an associate professor, becoming full professor in 2000. His research is in field arithmetic, Galois theory and profinite groups.

- Introduction.- 1. Topologies.- 2. Families of Subgroups.- 3. Free Products of Finitely Many Profinite Groups.- 4. Generalized Free Products.-5. Relative Embedding Problems.- 6. Strong Proper Projectivity.- 7. Étale Profinite Subset of Subgr(G).- 8. Fundamental Result.- 9. Main Result. Bibliography.- Index.