Correction: Stable homotopy classification of $BG_{p}^{\wedge}$
We correct the proof of the main theorem of our paper of the same title (Topology, 34, no.3, 633-649, 1995).
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arXiv subjects
Stewart Priddy
Publications and source records attributed to Stewart Priddy.
Lectures on the stable homotopy of BG
This paper is a survey of the stable homotopy theory of BG for G a finite group. It is based on a series of lectures given at the Summer School associated with the Topology Conference at the Vietnam National University, Hanoi, August 2004.
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Algebraic Topology (Hanoi, August 2004): The problem session
This article contains a collection of problems contributed during the course of the conference.
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Group Extensions and Automorphism Group Rings
The group ring of the automorphism group of a p-group is studied using the automorphism groups of subgroups and quotient groups of P.
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Transfer and complex oriented cohomology rings
For finite coverings we elucidate the interaction between transferred Chern classes and Chern classes of transferred bundles. This involves computing the ring structure for the complex oriented cohomology of various homotopy orbit spaces. In turn these results provide universal examples for computing the stable Euler classes (i.e. Tr^*(1)) and transferred Chern classes for p-fold covers. Applications to the classifying spaces of p-groups are given.
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A Classification of the Stable Type of $BG$
We give a classification of the $p$--local stable homotopy type of $BG$, where $G$ is a finite group, in purely algebraic terms. $BG$ is determined by conjugacy classes of homomorphisms from $p$--groups into $G$. This classification greatly simplifies if $G$ has a normal Sylow $p$--subgroup; the stable homotopy types then depends only on the Weyl group of the Sylow $p$--subgroup. If $G$ is cyclic mod $p$ then $BG$ determines $G$ up to isomorphism. The last class of groups is important because in an appropriate Grothendieck group $BG$ can be written as a unique linear combination of $BH$'s, where $H$ is cyclic mod $p$.
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