14 citations · 17 across the 8 of their papers we have counts for
11 papers
On the vertices of indecomposable summands of certain Lefschetz modules
John Maginnis, Silvia Onofrei
We study the reduced Lefschetz module of the complex of p-radical and p-centric subgroups. We assume that the underlying group G has parabolic characteristic p and the centralizer…
Saturated fusion systems with parabolic families
Silvia Onofrei
Let G be group; a finite p-subgroup S of G is a Sylow p-subgroup if every finite p-subgroup of G is conjugate to a subgroup of S. In this paper, we examine the relations between th…
A characteristic subgroup for fusion systems
Silvia Onofrei, Radu Stancu
As a counterpart for the prime 2 to Glauberman's -theorem, Stellmacher proves that any nontrivial 2-group has a nontrivial characteristic subgroup with the following…
On fixed point sets and Lefschetz modules for sporadic simple groups
John Maginnis, Silvia Onofrei
We consider 2-local geometries and other subgroup complexes for sporadic simple groups. For six groups, the fixed point set of a noncentral involution is shown to be equivariantly…
On a space related to the affine building of type E7
Silvia Onofrei
A locally truncated geometry with diagram of type affine E7 is studied. One considers a parapolar space, locally of type A_{7,4}, which is subject to an extra axiom. A covering of…
A characterization of two classes of locally truncated diagram geometries
Silvia Onofrei
We study locally truncated geometries that are parapolar spaces locally of type A_{n-1,j}(K) with n>6 and j=3,4. Residually connected sheaves over these geometries are constructed.…