ON A $p$-LOCAL GEOMETRY ASSOCIATED WITH A COMPLEX OF NON-TRIVIAL $p$-SUBGROUPS
Published online by Cambridge University Press: 20 March 2003
Abstract
Let ${\cal D}$ be a complex of non-trivial $p$-subgroups of a finite group $G$, closed under $G$-conjugation. In this paper, a $p$-local geometry $\Delta_p(G; {\cal D})$ is introduced for $G$ associated with the complex ${\cal D}$. The homotopy equivalence between $\Delta_p(G; {\cal D})$ and ${\cal D}$ is also studied.
- Type
- NOTES AND PAPERS
- Information
- Copyright
- © The London Mathematical Society 2003
Footnotes
- 4
- Cited by