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Frobenius groups generated by two elements of order 3. (Russian, English) Zbl 1003.20029
Sib. Mat. Zh. 42, No. 3, 533-537 (2001); translation in Sib. Math. J. 42, No. 3, 450-454 (2001).
A group $$G$$ is called a Frobenius group if there are a proper nontrivial normal subgroup $$F$$ and a subgroup $$H$$ such that (a) $$G=FH$$, $$F\cap H=1$$, (b) $$H\cap H^g=1$$ for every $$g\in G\setminus H$$, (c) $$F\setminus\{1\}=\bigcap_{g\in G\setminus H}(G\setminus H^g)$$.
The author gives a complete list of Frobenius groups generated by two elements of order three.

##### MSC:
 20E34 General structure theorems for groups 20F05 Generators, relations, and presentations of groups 20D40 Products of subgroups of abstract finite groups
Frobenius groups
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