Unipotent Groups

  • William C. Waterhouse
Part of the Graduate Texts in Mathematics book series (GTM, volume 66)


As in the last ehapter we begin with matrices and then generalize to a class of group schemes; the matrices involved here are at the other extreme from separability. What we want is some version of nilpotence, but of course nilpotent matrices cannot occur in a group, so we modify the definition slightly. Call an element g inGL n (k) unipotent if g − 1 is nilpotent— equivalently, all eigenvalues of g should be 1.


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Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • William C. Waterhouse
    • 1
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA

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