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A Kantor family admitting a normal F-factor constitutes a p-group
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Koen Thas
Published/Copyright:
May 21, 2008
Abstract
We solve a more general version of a conjecture of D. Hachenberger [D. Hachenberger, Groups admitting a Kantor family and a factorized normal subgroup. Des. Codes Cryptogr.8 (1996), 135–143. MR1393979 (98c:20042) Zbl 0877.51007] by showing that a group admitting a Kantor family with a thick F-factor is a p-group for some prime p.
Received: 2005-09-21
Published Online: 2008-05-21
Published in Print: 2008-April
© de Gruyter 2008
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Articles in the same Issue
- A Kantor family admitting a normal F-factor constitutes a p-group
- Planar compact sets whose intersections are starshaped via orthogonally convex paths
- An improvement of a theorem of Van de Ven
- Quadratic modules of polynomials in two variables
- On arithmetic Zariski pairs in degree 6
- Ample vector bundles with zero loci of small Δ-genera
- Defect and Hodge numbers of hypersurfaces
- On rational maps from a general surface in to surfaces of general type
- Location of radial centres of convex bodies
