Euler-Hall functions on Ree groups. (English. Russian original) Zbl 1292.20037

Levchuk, D. V.; Ushakov, Yu. Yu.

Sib. Math. J. 54, No. 2, 256-264 (2013); translation from Sib. Mat. Zh. 54, No. 2, 336-346 (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 \(^2G_2\).

Reviewer: Andrea Lucchini (Padova)

MSC:

20F05	Generators, relations, and presentations of groups
20D06	Simple groups: alternating groups and groups of Lie type

Keywords:

finite simple groups; simple Ree groups; finite groups of Lie type; Euler-Hall function

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