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ON A $p$-LOCAL GEOMETRY ASSOCIATED WITH A COMPLEX OF NON-TRIVIAL $p$-SUBGROUPS

Published online by Cambridge University Press:  20 March 2003

MASATO SAWABE
MASATO SAWABE
Affiliation:
Department of Mathematics, Naruto University of Education, Naruto Tokushima, 772-8502, Japansawabe@naruto-u.ac.jp
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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.

Keywords

20E1551E24
Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 2 , March 2003 , pp. 196 - 202
Copyright
© The London Mathematical Society 2003

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Footnotes

Supported by a grant from JSPS Research Fellowships for Young Scientists.