Results 261 to 270 of about 252,185 (293)

Euler-Hall functions on Ree groups

Siberian Mathematical Journal, 2013
For every nonabelian simple group \(G\) and for each natural \(n\geq 2\), there exists a greatest number \(d=d_n(G)\) such that the direct power \(G^d\) is generated by \(n\) elements. The authors compute the precise value of \(d_2(G)\) when \(G\) is a finite simple Ree group of type \(^2G_2\).
Levchuk, D. V., Ushakov, Yu. Yu.
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A Note on Groups of Ree Type

Canadian Mathematical Bulletin, 1973
The nonsolvable R-groups as defined by Walter [3] are groups of orders (q3+l)q3(q — 1), q = 32n+1, n ≥ 0. These are the groups of Ree type discussed by Ward [4] together with the Ree group R(3) of order 28.27.2. The R-group with parameter q has a doubly transitive representation of degree q3+1 but in this note we will prove that it cannot contain a ...
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Canonical Modules and Class Groups of Rees-Like Algebras

Michigan Mathematical Journal, 2023
Let \(S = k[x_1,\ldots,x_n]\) the polynomial ring in \(n\) variables over the field \(k\). For a homogeneous ideal \(I = (f_1,\ldots,f_m)\) the Rees-like algebra is defined by \(S[It, t^2] \subset S[t]\), where \(t\) is a variable. Let \(T = S[y_1,\ldots,y_m,z]\) be the non-standard graded polynomial ring with a natural map \(T \to S[It, t^2]\), where ...
Mantero, Paolo, McCullough, Jason, Miller, Lance Edward   +2 more
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Exponential Sums, Ree Groups and Suzuki Groups: Conjectures

Experimental Mathematics, 2017
Inspired by work of Gross, we exhibit rigid local systems on the affine line whose monodromy groups we conjecture to be the Suzuki and Ree groups, in characteristics 2 and 3 respectively.
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Primitive Prime Divisors of Orders of Suzuki–Ree Groups

Algebra and Logic, 2023
A primitive prime divisor of \(q^{m}-1\), where \(q\) and \(m\) are integers larger than 1, is a prime that divides \(q^{m}-1\) and does not divide \(q^{i}-1\) for all \(1 \leq i < m\). From a result by \textit{K. Zsigmondy} [Monatsh. f. Math. 3, 265--284 (1892; JFM 24.0176.02)] primitive prime divisors exist except in the following two cases (a) \(m=2\
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A new characterization of Suzuki-Ree group

Science in China Series A: Mathematics, 1997
Let \(G\) be a finite group and \(\pi_i\) (\(1\leq i\leq t\)) are all prime graph components of \(G\). Then \(|G|\) can be expressed as a product of coprime positive integers \(m_1,\dots,m_t\), where \(\pi(m_i)=\pi_i\) (\(1\leq i\leq t\)). The set \(\{m_1,\dots,m_t\}\) is denoted by \(OC(G)\).
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Moufang Octagons and the Ree Groups of Type 2 F 4

American Journal of Mathematics, 1983
info:eu-repo/semantics ...
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Encryption scheme based on small Ree groups

2021 7th International Conference on Computer Technology Applications, 2021
Gennady Khalimov, Yevgen Kotukh, Ibraim Didmanidze, Svitlana Khalimova   +3 more
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Effects of in situ leaching on the origin and migration of rare earth elements in aqueous systems of South China: Insights based on REE patterns, and Ce and Eu anomalies

Journal of Hazardous Materials, 2022
Yetao Tang, Mei-Na Guo, Rongliang Qiu
exaly  

A function field related to the Ree group

1992
We construct an algebraic function field over a finite field of characteristic 3, which has the Ree group as automorphism group. In this way, we obtain an explicit construction of the Ree group. We also prove, that the function field has as many rational places as possible, and that the number for certain extensions of the ground field reaches the ...
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