Covering theorems for finite nonabelian simple groups. III. - Solutions of the equation α x 2 + β t 2 + γ t - 2 = a in a finite field

J. L. Brenner; L. Carlitz

Rendiconti del Seminario Matematico della Università di Padova (1976)

  • Volume: 55, page 81-90
  • ISSN: 0041-8994

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Brenner, J. L., and Carlitz, L.. "Covering theorems for finite nonabelian simple groups. III. - Solutions of the equation $\alpha x^2 + \beta t^2 + \gamma t^{-2} = a$ in a finite field." Rendiconti del Seminario Matematico della Università di Padova 55 (1976): 81-90. <http://eudml.org/doc/107601>.

@article{Brenner1976,
author = {Brenner, J. L., Carlitz, L.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {81-90},
publisher = {Seminario Matematico of the University of Padua},
title = {Covering theorems for finite nonabelian simple groups. III. - Solutions of the equation $\alpha x^2 + \beta t^2 + \gamma t^\{-2\} = a$ in a finite field},
url = {http://eudml.org/doc/107601},
volume = {55},
year = {1976},
}

TY - JOUR
AU - Brenner, J. L.
AU - Carlitz, L.
TI - Covering theorems for finite nonabelian simple groups. III. - Solutions of the equation $\alpha x^2 + \beta t^2 + \gamma t^{-2} = a$ in a finite field
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1976
PB - Seminario Matematico of the University of Padua
VL - 55
SP - 81
EP - 90
LA - eng
UR - http://eudml.org/doc/107601
ER -

References

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  2. Brenner J.L. (1960), Research problem in group theory, Bull. Amer. Math. Soc., 66, p. 275; (1973) Covering theorems for finite nonabelian simple groups - IV, Jñānabha, Section A, pp. 77-84. Zbl0285.20040
  3. Burnside W. (1895), Theory of groups of finite order, Cambridge University Press. Zbl26.0170.01JFM28.0118.03
  4. Dickson L.E. (1900), Linear groups, Berlin, Teubner, reprinted Dover, 1958. Zbl30.0142.01MR104735
  5. Ore O. (1951), Some remarks on commutators, Proc. Amer. Math. Soc., 2, pp. 307-314. Zbl0043.02402MR40298
  6. Ree R. (1964), Commutators in semisimple algebraic groups, Proc. Amer. Math. Soc., 15, pp. 457-460. Zbl0127.25605MR161944
  7. Simpson W.A. - Frame J.S. (1973), The character tables for SL(3, q), SU(3, q2), PSL(3, q), PSU(3, q2), Can. J. Math., 25, pp. 486-494. Zbl0264.20010MR335618
  8. Thompson R.C. (1961), Commutators in the special and general linear groups, Trans. Amer. Math. Soc., 101, pp. 16-33. Zbl0109.26002MR130917
  9. Weil A. (1941), On the Riemann hypothesis in function fields, Proc. Nat. Acad. Sci., 27, pp. 345-347. Zbl0061.06406MR4242
  10. Xu C.-H. (1965), The commutators of the alternating group, Sci. Sinica, 14, pp. 339-342. Zbl0152.00402MR183763

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