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 language | English |
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Pages (from-to) | 213-232 |
Number of pages | 20 |
Journal | Journal of the Australian Mathematical Society |
Volume | 50 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1991 |