Home

Barbara Baumeister

  1. Aperiodic logarithmic signatures.

    Tue, 04/26/2011 - 15:01 — SomNambul
    Authors: Barbara Baumeister, Jan de Wiljes
    Subjects: Cryptography and Security
    Abstract

    In this paper we propose a method to construct logarithmic signatures which
    are not amalgamated transversal and further do not even have a periodic block.
    The latter property was crucial for the successful attack on the system MST3 by
    Blackburn et al. [1]. The idea for our construction is based on the theory in
    Szab\'o's book about group factorizations [12].

  2. Commuting graphs of odd prime order elements in simple groups.

    Wed, 08/19/2009 - 19:30 — SomNambul
    Authors: Barbara Baumeister, Alexander Stein
    Subjects: Group Theory
    Abstract

    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 loops of exponent 2.

  3. On Bruck Loops of 2-power Exponent.

    Wed, 08/19/2009 - 19:30 — SomNambul
    Authors: Barbara Baumeister, Alexander Stein, Gernot Stroth
    Subjects: Group Theory
    Abstract

    We 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.

  4. The finite Bruck Loops.

    Wed, 08/19/2009 - 19:30 — SomNambul
    Authors: Barbara Baumeister, Alexander Stein
    Subjects: Group Theory
    Abstract

    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 finite Bruck loop $X$ is the direct product of a Bruck
    loop of odd order with either a soluble Bruck loop of 2-power order or a
    product of loops related to the groups $PSL_2(q)$, $q= 9$ or $q \geq 5$ a
    Fermat prime. The latter possibillity does occur as is shown in [Nag1, BS]. As
    corollaries we obtain versions of Sylow's, Lagrange's and Hall's Theorems for
    loops.

Math-arch

Syndicate content