Gernot Stroth
An identification theorem for $PSU_6(2)$ and its automorphism groups.
Втр, 03/01/2011 - 16:01 — SomNambulAuthors: Gernot Stroth, Chris Parker
Subjects: Group Theory
AbstractWe identify the groups $PSU_6(2)$, $PSU_6(2){:}2$, $PSU_6(2){:}3$ and
$Aut(PSU_6(2))$ from the structure of the centralizer of an element of order 3.On Bruck Loops of 2-power Exponent.
Ср, 08/19/2009 - 19:30 — SomNambulAuthors: Barbara Baumeister, Alexander Stein, Gernot Stroth
Subjects: Group Theory
AbstractWe classify "nice" loop envelopes to Bruck loops of 2-power exponent under
the assumption that every nonabelian simple section of $G$ is either passive or
isomorphic to $\PSL_2(q)$, $q-1 \ge 4$ a 2-power. The hypothesis is verified in
a separate paper. This paper is a continuation of the work by Aschbacher,
Kinyon and Phillips on finite Bruck loops [AKP]. In [BS3] we applied these
results and get a neat description of the structure of the finite Bruck loops.
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