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On Finite Groups and Homotopy Theory (Memoirs of the American Mathematical Society, No...

Home > Mathematics Books > Group Theory > Item 394

	On Finite Groups and Homotopy Theory (Memoirs of the American Mathematical Society, No...
	by Ran Levi Sales Rank: 6263891	List Price: ~~$37.00~~ $37.00 At Amazon on 12-6-2008

Paperback: 100 pages Publisher: American Mathematical Society October 1995 Language: English ISBN-10: 0821804014 ISBN-13: 978-0821804018 Product Dimensions: 10.2 x 7.2 x 0.5 inches Shipping Weight: 8 ounces *Product Description* Let $p$ be a fixed prime number. Let $G$ denote a finite $p$-perfect group. This book looks at the homotopy type of the $p$-completed classifying space $BG_p$, where $G$ is a finite $p$-perfect group. The author constructs an algebraic analog of the Quillen's "plus" construction for differential graded coalgebras. This construction is used to show that given a finite $p$-perfect group $G$, the loop spaces $BG_p$ admits integral homology exponents. Levi gives examples to show that in some cases our bound is best possible. It is shown that in general $B\ast _p$ admits infinitely many non-trivial $k$-invariants. The author presents examples where homotopy exponents exist. Classical constructions in stable homotopy theory are used to show that the stable homotopy groups of these loop spaces also have exponents.
On Finite Groups and Homotopy Theory (Memoirs of the American Mathematical Society, No... Available from Amazon Price: $37.00 Updated on 12-6-2008

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