Modules for $ℤ/p × ℤ/p$

Jon F. Carlson; Eric M. Friedlander; Andrei Suslin

doi:10.4171/cmh/236

JournalscmhVol. 86, No. 3pp. 609–657

Modules for $Z / p \times Z / p$

Jon F. Carlson
University of Georgia, Athens, United States
Eric M. Friedlander
University of Southern California, Los Angeles, USA
Andrei Suslin
Northwestern University, Evanston, USA

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Abstract

We investigate various aspects of the modular representation theory of $Z / p \times Z / p$ with particular focus on modules of constant Jordan type. The special modules we consider and the constructions we introduce not only reveal some of the structure of $(Z / p \times Z / p)$ -modules but also provide a guide to further study of the representation theory of more general finite group schemes.

Cite this article

Jon F. Carlson, Eric M. Friedlander, Andrei Suslin, Modules for $Z / p \times Z / p$ . Comment. Math. Helv. 86 (2011), no. 3, pp. 609–657

DOI 10.4171/CMH/236