Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904945 | Advances in Mathematics | 2018 | 17 Pages |
Abstract
We study the homotopy properties of the posets of p-subgroups Sp(G) and Ap(G) of a finite group G, viewed as finite topological spaces. We answer a question raised by R.E. Stong in 1984 about the relationship between the contractibility of the finite space Ap(G) and that of Sp(G) negatively, and describe the contractibility of Ap(G) in terms of algebraic properties of the group G.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
ElÃas Gabriel Minian, Kevin Iván Piterman,