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Groups satisfying Scherk's length theorem

Abstract

We consider subgroupsG of the general linear groupGL(n,K) where charK≠2. IfG is generated by the setS of its simple involutions, if −1v εG, and if Scherk's length theorem holds forG, thenG is a subgroup of an orthogonal group.

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References

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To Helmut Karzel on his 70th birthday

This research was supported in part by NSERC Canada grant A7251.

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Ellers, E.W., Nolte, W. Groups satisfying Scherk's length theorem. J Geom 61, 39–45 (1998). https://doi.org/10.1007/BF01237492

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  • DOI: https://doi.org/10.1007/BF01237492

Keywords

  • Orthogonal Group
  • Simple Involution
  • Length Theorem