8,035 research outputs found
Expansivity and Roquette Groups
One looks at expansive subgroups in particular examples of Roquette groups.
This study is motivated by the importance of expansive subgroups in the theory
of stabilizing bisets highlighted in [BouThe]. In this paper we prove the
non-existence of expansive subgroups with trivial G-core in different examples
of Roquette groups G
One-relator Kaehler groups
We prove that a one-relator group is K\"ahler if and only if either
is finite cyclic or is isomorphic to the fundamental group of a compact
orbifold Riemann surface of genus with at most one cone point of order
: Comment: v2: 9pgs. no figs. Final version, to appear in "Geometry and
Topology
An improved 3-local characterisation of McL and its automorphism group
This article presents a 3-local characterisation of the sporadic simple group
McL and its automorphism group. The theorem is underpinned by a further
identification theorem the proof of which is character theoretic. The main
theorem is applied in our investigation of groups with a large 3-subgroup.
An additional file containing Magma code has been attached to this
submission.Comment: Revised following reviewer comment
Finite subgroups of simple algebraic groups with irreducible centralizers
We determine all finite subgroups of simple algebraic groups that have
irreducible centralizers - that is, centralizers whose connected component does
not lie in a parabolic subgroup.Comment: 24 page
Moufang sets of finite Morley rank of odd type
We show that for a wide class of groups of finite Morley rank the presence of
a split -pair of Tits rank forces the group to be of the form
and the -pair to be standard. Our approach is via
the theory of Moufang sets. Specifically, we investigate infinite and so-called
hereditarily proper Moufang sets of finite Morley rank in the case where the
little projective group has no infinite elementary abelian -subgroups and
show that all such Moufang sets are standard (and thus associated to
for an algebraically closed field of
characteristic not ) provided the Hua subgroups are nilpotent. Further, we
prove that the same conclusion can be reached whenever the Hua subgroups are
-groups and the root groups are not simple
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