English

Tate's and Yoshida's theorem on control of transfer for fusion systems

Group Theory 2014-02-26 v1 Representation Theory

Abstract

We prove analogues of results of Tate and Yoshida on control of transfer for fusion systems. This requires the notions of pp-group residuals and transfer maps in cohomology for fusion systems. As a corollary we obtain a pp-nilpotency criterion due to Tate.

Keywords

Cite

@article{arxiv.1002.4343,
  title  = {Tate's and Yoshida's theorem on control of transfer for fusion systems},
  author = {Antonio Diaz and Adam Glesser and Sejong Park and Radu Stancu},
  journal= {arXiv preprint arXiv:1002.4343},
  year   = {2014}
}

Comments

20 pages