Classifying spaces of sporadic groups
By: David J. Benson, Stephen D. Smith.
Contributors: Smith, Stephen D., 1948-
Series: Mathematical surveys and monographs -- v. 147; Mathematical surveys and monographs -- no. 147.
Publisher: American Mathematical Society
Published: 2008
Place of publication: Providence, R.I
Language: eng
Number of pages: 289
ISBN-13: 9780821844748
Subjects: Sporadic groups (Mathematics); Classifying spaces
Description: "For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology. The authors also summarize the current status of knowledge in the literature about the ring structure of the mod 2 cohomology of sporadic simple groups." "This book begins with a fairly, extensive initial exposition, intended for non-experts of background material on the relevant constructions from algebraic topology, and on local geometries from group theory. The subsequent chapters then use those structures to develop the main results on individual sporadic groups."--Jacket.
Notes: Includes bibliographical references (p. 275-279) and index.