IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
The homotopy types of the posets of p-subgroups of a finite group
Autor/es:
MINIAN, ELIAS GABRIEL; PITERMAN, KEVIN
Revista:
ADVANCES IN MATHEMATICS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2018 vol. 328 p. 1217 - 1233
ISSN:
0001-8708
Resumen:
We study the homotopy properties of the posets of $p$-subgroups $S_p(G)$ and $A_p(G)$ 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 $A_p(G)$ and that of $S_p(G)$ negatively, and describe the contractibility of $A_p(G)$ in terms of algebraic properties of the group $G$.
