ON THE POSET OF NON-TRIVIAL PROPER SUBGROUPS OF A FINITE GROUP

MARIA SILVIA LUCIDO
2003 Journal of Algebra and its Applications  
In this paper we describe the connected components of L(G), the partially ordered set of non-trivial proper subgroups of a finite group G. This result is related to the study of the simple connectivity of the coset poset of a finite group.
doi:10.1142/s0219498803000453 fatcat:2aetcdp4wvcrne5pqykbaj6ocy