Appendix on Generating the Hecke Algebra

Amod Agashe

William A. Stein


In this appendix to Lario and Schoof's Some computations with Hecke rings and deformation rings (to appear in Experimental Mathematics), we apply a result of J. Sturm to obtain a bound on the number of Hecke operators needed to generate the Hecke algebra as an abelian group. This bound was suggested to the authors of this appendix by Loic Merel and Ken Ribet.

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Amod and I originally wrote a non-appendix version of the above paper, which you can download here:
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