Geodesic
Locally finite groups containing direct products of dihedral groups
Algebra i logika, Tome 63 (2024) no. 3, pp. 323-337

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Let $d$ be a fixed natural number. We prove the following: THEOREM. Let $G$ be a locally finite group saturated with groups from a set $\mathfrak{M}$ consisting of direct products of $d$ dihedral groups. Then $G$ is a direct product of $d$ groups of the form $B\leftthreetimes\langle v\rangle$, where $B$ is a locally cyclic group inverted by an involution $v$.
Keywords: locally finite group, direct products of dihedral groups, locally cyclic group, involution. 
@article{AL_2024_63_3_a6,
     author = {A. A. Shlepkin},
     title = {Locally finite groups containing direct products of dihedral groups},
     journal = {Algebra i logika},
     pages = {323--337},
     publisher = {mathdoc},
     volume = {63},
     number = {3},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2024_63_3_a6/}
}
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A. A. Shlepkin. Locally finite groups containing direct products of dihedral groups. Algebra i logika, Tome 63 (2024) no. 3, pp. 323-337. http://geodesic.mathdoc.fr/item/AL_2024_63_3_a6/