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6 new papers this time, from Chebolu-Christensen-Minac,
Elmendorf-Mandell, Flores-Foote, Gray-Theriault, Kahn-Maltsiniotis,
and Stacey-Whitehouse.  

                  Mark Hovey

New papers appearing on hopf between 9/24/07 and 11/29/07

1.
http://hopf.math.purdue.edu/cgi-bin/generate?/Chebolu-Christensen-Minac/GH-periodic

TITLE: Freyd's generating hypothesis for groups with periodic cohomology. 

AUTHORS: Sunil K. Chebolu, J. Daniel Christensen, and Jan Minac

Department of Mathematics 
University of Western Ontario
London, ON N6A 5B7, Canada

ABSTRACT:
Let $G$ be a finite group and let $k$ be a field whose characteristic $p$ divides 
the order of $G$. Freyd's generating hypothesis for the stable module category of
$G$ is the statement that a map between finite-dimensional $kG$-modules in the 
thick subcategory generated by $k$ factors through a projective if the induced 
map on Tate cohomology is trivial. We show that if $G$ has periodic cohomology 
then the generating hypothesis holds if and only if the Sylow $p$-subgroup of $G$ 
is $C_2$ or $C_3$. We also give some other conditions that are equivalent to the GH
for groups with periodic cohomology.

2.
http://hopf.math.purdue.edu/cgi-bin/generate?/Elmendorf-Mandell/EM2v5

A. D. Elmendorf and M. A. Mandell

Multiplicative structure in infinite loop space theory
	
We extend the K-theory functor constructed in our previous paper
(Rings, modules, and algebras in infinite loop space theory,
Advances in Mathematics 205 (2006) 163-228) to the bicomplete
symmetric monoidal closed category of based (symmetric)
multicategories, to which our previous source category of
permutative categories and lax morphisms maps fully and
faithfully.

3.
http://hopf.math.purdue.edu/cgi-bin/generate?/Flores-Foote/Flores-Foote

Title: Strongly closed subgroups and the cellular structure of
       classifying spaces

Authors: Ram\'on J. Flores and Richard M. Foote

Abstract: In this paper we give a complete classification of the
finite groups that contain a strongly closed $p$-subgroup,
generalizing previous work of the second author to the case of an
odd prime. We use this result to also obtain a description of the
BZ/p-cellularization (in the sense of Dror-Farjoun) of all the
classifying spaces of finite groups.

4.
http://hopf.math.purdue.edu/cgi-bin/generate?/Gray-Theriault/Gray-Theriault

An elementary construction of Anick's fibration 

Brayton Gray 
Department of Mathematics, Statistics, and Computer Science  
University of Illinois at Chicago 
Chicago, IL 60607-7045  

Stephen Theriault 
Department of Mathematical Sciences 
University of Aberdeen 
Aberdeen, AB24 3UE, United Kingdom 

Cohen, Moore, and Neisendorfer's work on the odd primary homotopy theory of
spheres and Moore spaces, as well as the first author's work on
the secondary suspension, predicted the existence of a p-local fibration  
S^2n-1 --> T --> \Omega S^2n+1
whose connecting map is degree p^r.
In a long and complex monograph, Anick constructed such a
fibration for p>=5 and r>=1. Using new methods we give a much
more conceptual construction which is also valid for p=3 and r>=1.
We go on to establish several properties of the space T.

5.
http://hopf.math.purdue.edu/cgi-bin/generate?/Kahn-Maltsiniotis/StrDer

Structures de d�érivabilit�é

Bruno KAHN & Georges MALTSINIOTIS 

Institut de Math�ématiques de Jussieu

We introduce a very general framework in which Quillen's theorems of existence, 
composition and adjunction for derived functors can be proved. We thus generalize 
and unify previous results by Dwyer, Hirschhorn, Kan and Smith, obtained in their 
formalism of "homotopical categories", and by Radulescu-Banu in the context of 
Cisinski's "derivable categories".

6.
http://hopf.math.purdue.edu/cgi-bin/generate?/Stacey-Whitehouse/hopf

Title: The Hunting of the Hopf Ring
Authors: Andrew Stacey and Sarah Whitehouse

Addresses of authors:
  Andrew Stacey
  Institutt for matematiske fag
  NTNU
  7491 Trondheim
  Norway

  Sarah Whitehouse
  Department of Pure Mathematics
  University of Sheffield
  Sheffield S3 7RH
  UK

Abstract:
We provide a new algebraic description of the structure on the set of all
unstable cohomology operations for a suitable generalised cohomology theory,
E^*. Our description is as a graded and completed version of a Tall-Wraith
monoid. The E^*-cohomology of a space X is a module for this Tall-Wraith
monoid.  We also show that the corresponding Hopf ring of unstable
co-operations is a module for the Tall-Wraith monoid of unstable operations.
Further examples are provided by considering operations from one theory to
another.


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