Download Zeta Functions of Groups and Rings (Lecture Notes in by Marcus du Sautoy,Luke Woodward PDF

By Marcus du Sautoy,Luke Woodward

Zeta services were a strong instrument in arithmetic during the last centuries. This publication considers a brand new classification of non-commutative zeta services which encode the constitution of the subgroup lattice in limitless teams. It explores the analytic habit of those services including an research of sensible equations. The booklet examines many vital examples of zeta capabilities, offering a huge database of specific examples and techniques for calculation.

Show description

Read or Download Zeta Functions of Groups and Rings (Lecture Notes in Mathematics) PDF

Similar group theory books

Operator Algebras: Theory of C*-Algebras and von Neumann Algebras: 122 (Encyclopaedia of Mathematical Sciences)

This booklet deals a accomplished creation to the final idea of C*-algebras and von Neumann algebras. starting with the fundamentals, the speculation is built via such themes as tensor items, nuclearity and exactness, crossed items, K-theory, and quasidiagonality. The presentation rigorously and accurately explains the most good points of every a part of the idea of operator algebras; most vital arguments are a minimum of defined and lots of are awarded in complete aspect.

Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees (London Mathematical Society Lecture Note Series)

Those notes deal with in complete element the idea of representations of the crowd of automorphisms of a homogeneous tree. The unitary irreducible representations are labeled in 3 kinds: a continuing sequence of round representations; specified representations; and a countable sequence of cuspidal representations as outlined through G.

Groups of Prime Power Order. Volume 2 (De Gruyter Expositions in Mathematics)

This can be the second one of 3 volumes dedicated to effortless finite p-group idea. just like the 1st quantity, hundreds of thousands of vital effects are analyzed and, in lots of situations, simplified. very important subject matters awarded during this monograph comprise: (a) class of p-groups all of whose cyclic subgroups of composite orders are common, (b) category of 2-groups with precisely 3 involutions, (c) proofs of Ward's theorem on quaternion-free teams, (d) 2-groups with small centralizers of an involution, (e) class of 2-groups with precisely 4 cyclic subgroups of order 2n > 2, (f) new proofs of Blackburn's theorem on minimum nonmetacyclic teams, (g) class of p-groups all of whose subgroups of index p2 are abelian, (h) type of 2-groups all of whose minimum nonabelian subgroups have order eight, (i) p-groups with cyclic subgroups of index p2 are categorized.

Extra resources for Zeta Functions of Groups and Rings (Lecture Notes in Mathematics)

Sample text

Download PDF sample

Rated 4.44 of 5 – based on 17 votes