Covering theorems for finite nonabelian finite simple groups. III. Solutions of the equation \(\alpha x^ 2 + \beta t^ 2 + y t^{-2} =\) a in a finite field

zbMath0352.20003MaRDI QIDQ1235760

J. L. Brenner, Leonard Carlitz

Publication date: 1977

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1976__55__81_0

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Permutation groups (20B99)

Related Items (3)

Products of cyclic similarity classes in the groups \(\text{GL}_n(F)\) ⋮ Products of cyclic conjugacy classes in the groups \(\text{PSL}(n,F)\) ⋮ On the squares of sets of linear groups

Cites Work

• Even permutations as a product of two conjugate cycles
• Commutators in the Special and General Linear Groups
• Commutators in Semi-Simple Algebraic Groups
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• Some Remarks on Commutators
• On the Riemann Hypothesis in Function-Fields
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