1,989 research outputs found
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
An identification theorem for the sporadic simple groups F_2 and M(23)
We identify the sporadic groups M(23) and F_2 from the approximate structure
of the centralizer of an element of order 3
On strongly -embedded subgroups of Lie rank 2
Suppose that is a prime, is a finite group and is a strongly
-embedded subgroup in . We consider the possibility that is a
simple group of Lie rank 2 defined in characteristic .Comment: 9 page
On Bruck Loops of 2-power Exponent
The goal of this paper is two-fold. First we provide the information needed
to study Bol, or Bruck loops by applying group theoretic methods. This
information is used in this paper as well as in [BS3] and in [S]. Moreover, we
determine the groups associated to Bruck loops of 2-power exponent under the
assumption that every nonabelian simple group is either passive or
isomorphic to \PSL_2(q), a -power. In a separate paper it is
proven that indeed every nonabelian simple group is either passive or
isomorphic to \PSL_2(q), a -power [S]. The results obtained
here are used in [BS3], where we determine the structure of the groups
associated to the finite Bruck loops.Comment: 26 page
Endliche einfache Gruppen mit einer zentralisatorgleichen elementar abelschen Untergruppe von der Ordnung 16
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