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math.GR2009★ 5 cited
Commuting graphs of odd prime order elements in simple groups
Barbara Baumeister, Alexander Stein
We study the commuting graph on elements of odd prime order in finite simple groups. The results are used in a forthcoming paper describing the structure of Bruck loops and Bol loo…
math.GR2009
The finite Bruck Loops
Barbara Baumeister, Alexander Stein
We continue the work by Aschbacher, Kinyon and Phillips [AKP] as well as of Glauberman [Glaub1,2] by describing the structure of the finite Bruck loops. We show essentially that a…
math.GR2009
On Bruck Loops of 2-power Exponent
Barbara Baumeister, Alexander Stein, Gernot Stroth
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…