Premium
On a p ‐Local Geometry Associated with a Complex of Non‐Trivial p ‐Subgroups
Author(s) -
Sawabe Masato
Publication year - 2003
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609302001765
Subject(s) - mathematics , mathematics subject classification , homotopy , equivalence (formal languages) , combinatorics , pure mathematics , geometry
Let 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 δ p ( G ; D ) is introduced for G associated with the complex D . The homotopy equivalence between δ p ( G ; D ) and D is also studied. 2000 Mathematics Subject Classification 20E15, 51E24.