References
S. Bouc Homologie de certains ensembles ordonnés, C. R. Acad. Sc. Paris Série I,299 (1984), 49–52.
G. E. Bredon,Equivariant cohomology theories. Lecture Notes in Math.34, Springer-Verlag 1967.
K. S. Brown,Groups of virtually finite dimension. In:Homological Group Theory (Ed. C. T. C. Wall) L. M. S. Lecture Note Series,36, Cambridge Univ. Press, Cambridge 1979.
K. S. Brown,Cohomology of groups, Graduate Texts in Mathematics87, Springer-Verlag 1982.
S. B. Conlon,Decompositions induced from the Burnside algebra, J. Algebra10, 102–122 (1968).
T. Tom Dieck,Transformation groups and representation theory. Lecture Notes in Mathematics766, Springer-Verlag 1979.
A. Dress,Contributions to the theory of induced reporesentations. In:Algebraic K-Theory II, Proc. Batelle Institute Conference 1972 (Ed. H. Bass) Lecture Notes in Mathematics342, pp. 183–240, Springer-Verlag 1973.
A. Dress,Modules with trivial source, modular monomial representations and a modular version of Brauer's induction theorem. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg44, 101–109 (1975).
J. A. Green,Axiomatic representation theory for finite groups, J. Pure Appl. Algebra1, 41–77 (1971).
K. W. Gruenberg,Cohomological topics in group theory. Lecture Notes in Mathematics143, Springer-Verlag 1970.
N. J. Kuhn andS. A. Mitchell,The multiplicity of the Steinberg representation of GL nFq in the symmetric algebra. Preprint.
P. Landrock,Finite group algebras and their modules. LMS Lecture Notes84, Cambridge Univ. Press 1983.
J. P. May,Simplicial objects in algebraic topology. Univ. of Chicago Press, 1967.
D. Quillen,Homotopy properties of the poset of nontrivial p-subgroups of a group. Advances in Math.28, 101–128 (1978).
G. R. Robinson, private communication.
A. J. E. Ryba, S. D. Smith andS. Yoshiara,Some projective modules determined by sporadic geometries, J. Algebra129, 279–311 (1990).
H. Sasaki,Green correspondence and transfer theorems of Wielandt type for G-functors, J. Algebra79, 98–120 (1982).
J. Thévenaz andP. J. Webb,Homotopy equivalence of posets with a group action. J. Combinatorial Theory, Ser. A, to appear.
J. Thévenaz andP. J. Webb,A Mackey functor version of a conjecture of Alperin. To appear in Astérisque.
P. J. Webb,A local method in group cohomology, Commentarii Math. Helvetici62, 135–167 (1987).
P. J. Webb,Complexes, group cohomology, and an induction theorem for the Green ring. J. Algebra104, 351–357 (1986).
P. J. Webb,Subgroup complexes, In:The Arcata Conference on Representations of Finite Groups, (Ed. P. Fong) AMS Proceedings of Symposia in Pure Mathematics47 (1987).
T. Yoshida,On G-functors I: Transfer theorems for cohomological G-functors, Hokkaido Math. J.9, 222–257 (1980).
T. Yoshida,On G-functors II: Hecke operators and G-functors. J. Math. Soc. Japan35, 179–190 (1983).
K. Lamotke,Semisimpliziale algebraische Topologie, Springer-Verlag 1968.
C. R. F. Maunder,Algebraic topology, van Nostrand Reinhold 1970.
Author information
Authors and Affiliations
About this article
Cite this article
Webb, P.J. A split exact sequence of Mackey functors. Comment. Math. Helv. 66, 34–69 (1991). https://doi.org/10.1007/BF02566635
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02566635