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CORRIGENDA: MACKEY FUNCTORS AND CONTROL OF FUSION
PETER SYMONDS
Journal:

Bulletin of the London Mathematical Society / Volume 38 / Issue 5 / October 2006

Published online by Cambridge University Press:

20 September 2006, p. 786

Print publication:

October 2006
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In the introduction to [3] it is mistakenly claimed that Mislin's proof uses Carlsson's proof of Segal's Burnside ring conjecture. In fact, Mislin uses instead the work of Carlsson, Miller and Lannes on Sullivan's fixed-point conjecture, and work of Dwyer and Zabrodski [1]. There is, however, a proof by Snaith [2] that depends on a version of the Segal conjecture.

MACKEY FUNCTORS AND CONTROL OF FUSION
PETER SYMONDS
Journal:

Bulletin of the London Mathematical Society / Volume 36 / Issue 5 / September 2004

Published online by Cambridge University Press:

24 August 2004, pp. 623-632

Print publication:

September 2004
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This paper presents an algebraic approach to Mislin's theorem that control of $p$-fusion is equivalent to inducing a mod-$p$ cohomology isomorphism. There are consequences for the cohomology of $p$-permutation modules.