Geodesic
Almost layer-finiteness of the periodic part of a group without involutions
Diskretnaya Matematika, Tome 15 (2003) no. 3, pp. 91-104

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We prove the following theorem which characterises the class of groups without involutions which have an almost layer-finite periodic part: if the normaliser of any non-trivial finite subgroup of a Shunkov group without involutions has an almost layer-finite periodic part, then the group also has an almost layer-finite periodic part.The research was supported by the Russian Foundation for Basic Research, grant 99–01–00432, and by grant №9 of the 6th Competition of Scientific Projects of Young Researchers of Russian Academy of Sciences, 1999. 
@article{DM_2003_15_3_a5,
     author = {V. I. Senashov and V. P. Shunkov},
     title = {Almost layer-finiteness of the periodic part of a group without involutions},
     journal = {Diskretnaya Matematika},
     pages = {91--104},
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     volume = {15},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2003_15_3_a5/}
}
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V. I. Senashov; V. P. Shunkov. Almost layer-finiteness of the periodic part of a group without involutions. Diskretnaya Matematika, Tome 15 (2003) no. 3, pp. 91-104. http://geodesic.mathdoc.fr/item/DM_2003_15_3_a5/