Geodesic
Locally finite Suzuki–Higman $2$-groups
Algebra i logika, Tome 56 (2017) no. 6, pp. 721-748

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We prove the following: THEOREM. Let $U$ be a locally finite Suzuki–Higman $2$-group with respect to an automorphism group $H$. Then $U$ and $H$ are representable as the respective unions of ascending chains of finite subgroups \begin{align*} U_1\dots\dots,\\ H_1\dots\dots, \end{align*} in which case every subgroup $U_n$ is a Suzuki $2$-group with respect to $H_n$.
Keywords: locally finite Suzuki–Higman $2$-group, Suzuki $2$-group, ascending chain of finite subgroups.
Mots-clés : automorphism group 
@article{AL_2017_56_6_a5,
     author = {N. M. Suchkov},
     title = {Locally finite {Suzuki{\textendash}Higman} $2$-groups},
     journal = {Algebra i logika},
     pages = {721--748},
     publisher = {mathdoc},
     volume = {56},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2017_56_6_a5/}
}
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N. M. Suchkov. Locally finite Suzuki–Higman $2$-groups. Algebra i logika, Tome 56 (2017) no. 6, pp. 721-748. http://geodesic.mathdoc.fr/item/AL_2017_56_6_a5/