Blocks of Finite Groups and Their Invariants (Lecture Notes by Benjamin Sambale

By Benjamin Sambale

offering an almost entire collection of up to date equipment and effects on block invariants with admire to their illness teams, this publication covers the classical conception pioneered via Brauer, the trendy thought of fusion platforms brought by means of Puig, the geometry of numbers built by way of Minkowski, the type of finite basic teams, and diverse desktop assisted tools. In a robust mix, those instruments are utilized to unravel many detailed situations of well-known open conjectures within the illustration idea of finite teams. lots of the fabric is drawn from peer-reviewed magazine articles, yet there also are new formerly unpublished effects. with a purpose to make the textual content self-contained, certain proofs are given at any time when attainable. numerous tables upload to the text's usefulness as a reference. The publication is geared toward specialists in workforce idea or illustration idea who may need to use the awarded rules of their research.

Show description

Read Online or Download Blocks of Finite Groups and Their Invariants (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 entire advent to the overall conception 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 conscientiously and accurately explains the most positive factors of every a part of the idea of operator algebras; most vital arguments are at the least defined and lots of are provided in complete element.

Symmetries and Groups in Contemporary Physics (Nankai Series in Pure, Applied Mathematics and Theoretical Physics)

This quantity makes a speciality of advancements within the box of workforce concept in its broadest feel and is of curiosity to theoretical and experimental physicists, mathematicians, and scientists in similar disciplines who're drawn to the most recent equipment and functions. In an more and more ultra-specialized international, this quantity will display the interchange of rules and techniques in theoretical and mathematical physics.

Basic Algebraic Topology and its Applications

This e-book offers an available advent to algebraic topology, a field on the intersection of topology, geometry and algebra, including its functions. additionally, it covers a number of similar subject matters which are actually vital within the total scheme of algebraic topology. Comprising eighteen chapters and appendices, the booklet integrates a number of thoughts of algebraic topology, supported through examples, workouts, purposes and old notes.

Finite and Profinite Quantum Systems (Quantum Science and Technology)

This monograph offers an advent to finite quantum platforms, a box on the interface among quantum info and quantity concept, with functions in quantum computation and condensed topic physics. the 1st significant a part of this monograph experiences the so-called `qubits' and `qudits', structures with periodic finite lattice as place area.

Additional info for Blocks of Finite Groups and Their Invariants (Lecture Notes in Mathematics)

Example text

Download PDF sample

Rated 4.50 of 5 – based on 28 votes