Geodesic
On Shunkov groups with a strongly embedded almost layer-finite subgroup
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 234-239
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Infinite Shunkov groups with the following condition are studied: the normalizer of any finite nontrivial subgroup has an almost layer-finite periodic part. Under this condition, the almost layer-finiteness of the periodic part of a Shunkov group with a strongly embedded almost layer-finite subgroup is established. Earlier, the author proved the almost layer-finiteness of a Shunkov group with a strongly embedded subgroup either under the condition that all proper subgroups are almost layer-finite or under the condition that the group is periodic. The case of a strongly embedded subgroup with a Chernikov almost layer-finite periodic part was also investigated earlier.
Keywords: infinite groups, finiteness conditions, layer-finiteness, periodicity. 
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V. I. Senashov. On Shunkov groups with a strongly embedded almost layer-finite subgroup. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 234-239. http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a25/

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