Integral and P-Modular Semisimple Deformations for P-Solvable Groups of Finite Representation Type

Mary Schaps

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We prove that the split integral group ring of a finite p-solvable group of finite representation type has a structure analogous to that of the p-modular semisimple deformation. The split integral deformation can be put in the same form as the p-modular deformation by an appropriate substitution for the parameter T. As an application we derive a simple formula for the matrix units in the semisimple group algebra over a nonmodular prime.

Original languageEnglish
Pages (from-to)213-232
Number of pages20
JournalJournal of the Australian Mathematical Society
Volume50
Issue number2
DOIs
StatePublished - Apr 1991

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