We show that the Sylow 2-subgroups of nearly all Chevalley groups in even characteristic allow the definition of a check-character-system which detects all single and the most important double errors. Keywords: check character system, check digit system, error detecting code, Suzuki-2-groups, fixed-point-free automorphisms, p-groups, Chevalley groups 1

Claudia Broecker

Gernot Stroth

Ralph-Hardo Schulz

: We show that the Sylow 2-subgroups of nearly all Chevalley groups in even characteristic allow the definition of a check-character-system which detects all single and the most important double errors. Key words: check character system, check digit system, error detecting code, Suzuki-2-groups, fixed-point-free automorphisms, p-groups, Chevalley groups 0. Introduction  Defining a check character system over a finite group using one of its automorphisms, we derive the necessary conditions for the detection of the most frequent errors (cf. [?], [?] ). In the abelian case, there are many groups fulfilling these conditions ([?]). Here, we give examples for the non-abelian case; indeed the Sylow-2-groups of nearly all Chevalley groups can be used for the construction of such a check character system.  1. The Problem Definition 1 :Check-character-system ([?]) Let (G; \Delta) be a finite group and ffi 1 ; :::; ffi n permutations of the set G. Then a check character system on the alphabet G (..

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Check character systems using Chevalley groups

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Check Character Systems Using Chevalley Groups

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