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2 results

  • Lifts and vertex pairs in solvable groups

  • Part of
  • James P. Cossey, Mark L. Lewis
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 55 / Issue 1 / February 2012
    Published online by Cambridge University Press:
    04 January 2012, pp. 143-153
    • Article
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  • Suppose G is a p-solvable group, where p is odd. We explore the connection between lifts of Brauer characters of G and certain local objects in G, called vertex pairs. We show that if χ is a lift, then the vertex pairs of χ form a single conjugacy class. We use this to prove a sufficient condition for a given pair to be a vertex pair of a lift and to study the behaviour of lifts with respect to normal subgroups.

  • LIFTS OF PARTIAL CHARACTERS WITH CYCLIC DEFECT GROUPS

  • Part of
  • JAMES P. COSSEY, MARK L. LEWIS
  • Journal:
    Journal of the Australian Mathematical Society / Volume 89 / Issue 2 / October 2010
    Published online by Cambridge University Press:
    22 November 2010, pp. 145-163
    Print publication:
    October 2010
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  • We count the number of lifts of an irreducible π-partial character that lies in a block with a cyclic defect group.