Results 251 to 260 of about 194,642 (288)

Indirect calorimetry identifies hypermetabolism associated with muscle wasting and increased risk of energy deficit in ICU patients. [PDF]

open access: yesCrit Care
von Renesse J   +12 more
europepmc   +1 more source

Structure of ree groups

Algebra and Logic, 1985
On the basis of a description of the maximal subgroups of finite Ree groups \({}^ 2G_ 2(3^ n)\) the authors prove that for every infinite family K of finite Ree groups the free group with two generators is residually a K-group.
Levchuk, V. M., Nuzhin, Ya. N.
openaire   +2 more sources

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.
openaire   +2 more sources

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 ...
openaire   +2 more sources

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   +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.
openaire   +1 more source

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\
openaire   +1 more source

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