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

J. L. Brenner; L. Carlitz

Displaying similar documents to “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”

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Richard E. Phillips, J. M. Plotkin (1975)

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Jacek Michalski (1981)

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Group structure in finite coverings of compact solenoidal groups.

Grigorian, S.A., Gumerov, R.N., Kazantsev, A.V. (2000)

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Old and new necessary and sufficient conditions on $(a_{i}, m_{i})$ in order that $n \equiv a_{i} (mod m_{i})$ be a covering system

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Remarks to Głazek's results on n-ary groups

Wiesław A. Dudek (2007)

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This is a survey of the results obtained by K. Głazek and his co-workers. We restrict our attention to the problems of axiomatizations of n-ary groups, classes of n-ary groups, properties of skew elements and homomorphisms induced by skew elements, constructions of covering groups, classifications and representations of n-ary groups. Some new results are added too.

Finite Groups as the Union of Proper Subgroups

Zhang, Jiping (2006)

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2000 Mathematics Subject Classification: 20D60,20E15. As is known, if a finite solvable group G is an n-sum group then n − 1 is a prime power. It is an interesting problem in group theory to study for which numbers n with n-1 > 1 and not a prime power there exists a finite n-sum group. In this paper we mainly study finite nonsolvable n-sum groups and show that 15 is the first such number. More precisely, we prove that there exist no finite 11-sum or 13-sum groups and there...

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Jan Ambrosiewicz (1986)

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On a question of M. Conder

M. Chiara Tamburini, Paola Zucca (2000)

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We show that the special linear group $S L (3, Z)$ , over the integers, is not $(2, 3)$ -generated. This gives a negative answer to a question of M. Conder.

Weak generic types and coverings of groups I

Ludomir Newelski, Marcin Petrykowski (2006)

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We introduce the notion of a weak generic type in a group. We improve our earlier results on countable coverings of groups and types.

A Note on the Covering Groups of ...n, n ... 6.

Fredrik L. Smith (1972)

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Displaying similar documents to “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”

Displaying similar documents to “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”