- Gerald Allison, Avner Ash, and Eric Conrad. "Galois Representations, Hecke Operators, and the mod-p Cohomology of GL(3,Z) with Twisted Coefficients." Experiment. Math. 7:4 (1998), 361–390.
- Avner Ash and Warren Sinnott. "An Analogue of Serre's Conjecture for Galois Representations and Hecke Eigenclasses in the mod p Cohomology of GL(n,ℤ)." Duke Math. J. 105:1 (2000), 1–24.
- Avner Ash and Glenn Stevens. "Cohomology of Arithmetic Groups and Congruences between Systems of Hecke Eigenvalues." J. Reine Angew. Math. 365 (1986), 192–220.
- Avner Ash, Darrin Doud, and David Pollack. "Galois Representations with Conjectural Connections to Arithmetic Cohomology." Duke Math. J. 112:3 (2003), 521–579.
- Avner Ash, David Pollack, and Dayna Soares. "SL3(𝔽2)-Extensions of ℚ and Arithmetic Cohomology Modulo 2." Experiment. Math. 13 (2004), 297–307.
- Wieb Bosma, John Cannon, and Catherine Playoust. "The MAGMA Algebra System, I: The User Language." J. Symb. Comp. 24 (1997), 235–265.
- Stephen R. Doty and Grant Walker. "The Composition Factors of Fp [x 1, x 2, x 3] as a GL(3,p)- Module." Journal of Algebra 147 (1992), 411–441.
- William Fulton and Joe Harris. Representation theory, Graduate Texts in Mathematics 129. New York: Springer-Verlag, 1991.
- James A. Green. Polynomial Representations of GLn, Lecture Notes in Mathematics 830. Berlin: Springer- Verlag, 1980.
- Florian Herzig. "The Weight in a Serre-Type Conjecture for Tame n-Dimensional Galois Representations." PhD diss., Harvard University, 2006.
- Jürgen Neukirch. Algebraic Number Theory, Grundlehren der Mathematischen Wissenschaften 322. Berlin: Springer-Verlag, Berlin, 1999.
- The PARI-Group, Bordeaux. "PARI/GP, Version 2.1.5." Available online (http://www.parigp-home.de), 2000. http://www.parigp-home.de
- Jean-Pierre Serre. "Propriétés galoisiennes des points d'ordre fini des courbes elliptiques." Invent. Math. 15:4 (1972), 259–331.
- Jean-Pierre Serre. "Sur les représentations modulaires de degré 2 de Gal(ℚ̄/ℚ)." Duke Math. J. 54:1 (1987), 179–230.
- Glen Simpson. "PSL(2,7)-Extensions of ℚ with Certain Ramification at Two Primes." Master's thesis, Brigham Young University, 2004.
Supersingular Galois Representations and a Generalization of a Conjecture of Serre
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.