Get Algebraic Topology and Transformation Groups PDF

By Tammo tom Dieck

ISBN-10: 3540505288

ISBN-13: 9783540505280

This ebook is a jewel– it explains vital, worthwhile and deep themes in Algebraic Topology that you just won`t locate somewhere else, conscientiously and in detail."""" Prof. Günter M. Ziegler, TU Berlin

Show description

Read or Download Algebraic Topology and Transformation Groups PDF

Best group theory books

Get Metaplectic Groups and Segal Algebras PDF

Those notes supply an account of modern paintings in harmonic research facing the analytical foundations of A. Weil's conception of metaplectic teams. it truly is proven that Weil's major theorem holds for a category of capabilities (a yes Segal algebra) higher than that of the Schwartz-Bruhat services thought of via Weil.

Markus Stroppel's Locally Compact Groups (EMS Textbooks in Mathematics) PDF

In the neighborhood compact teams play a huge position in lots of parts of arithmetic in addition to in physics. the category of in the community compact teams admits a powerful constitution concept, which permits to lessen many difficulties to teams built in numerous methods from the additive team of actual numbers, the classical linear teams and from finite teams.

Get Group Theory and Three-dimensional Manifolds (Mathematical PDF

This can be an instance product description.

Download e-book for iPad: Number, Shape, & Symmetry: An Introduction to Number Theory, by Diane L. Herrmann, Paul J. Sally Jr.

Via a cautious remedy of quantity idea and geometry, quantity, form, & Symmetry: An creation to quantity thought, Geometry, and crew conception is helping readers comprehend critical mathematical principles and proofs. Classroom-tested, the booklet attracts at the authors’ profitable paintings with undergraduate scholars on the college of Chicago, 7th to 10th grade mathematically proficient scholars within the collage of Chicago’s younger students software, and simple public institution lecturers within the Seminars for Endorsement in technological know-how and arithmetic schooling (SESAME).

Additional resources for Algebraic Topology and Transformation Groups

Example text

2 (cf. 14). r-local structure for r = p. Next we consider the case when the prime r is different from the natural characteristic p of G. Recall that the r-elements of G are semisimple, that is, diagonalizable over the algebraic closure F of F . For expository purposes, consider our standard example G = GL(V ), where we have g ∈ G of order r, and diagonalizable even over F . Then the r-th roots of 1 {λi : 1 ≤ i ≤ r} are the (potential) eigenvalues of g, and V = V1 ⊕ · · · ⊕ Vr , where Vi is the g-eigenspace corresponding to λi .

It may not be immediately evident how the actual proof that developed fits into our six-step strategy above, so at relevant points in our narrative, we will discuss how the actual proof required some adjustments to compensate for complications to our idealized strategy. As a brief preview, we provide below a quick informal summary of the main stages; in particular we supply some names and reference numbers for the major subtheorems which will emerge during the course of the subsequent discussion.

In doing so, we are emphasizing that these results • are not directly concerned with groups of GW type; and • are used in important ways in both the Odd and Even Cases of the CFSG. 1: The previous section treated the 2-rank 0 subcase of the Small Odd Case (2-rank at most 2) in Step 2 of the Strategy. Before completing that Step in the following section, we first discuss uniqueness subgroups—corresponding to the exceptional branch in Step 1 of the Strategy. The Strongly Embedded Theorem as the main 2-Uniqueness Theorem.

Download PDF sample

Algebraic Topology and Transformation Groups by Tammo tom Dieck

by Jeff

Rated 4.34 of 5 – based on 44 votes