Geodesic
On Shunkov Groups with a~strongly embedded subgroup
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 203-210

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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 subgroup possessing a Chernikov almost layer-finite periodic part is established. Earlier, the author proved the almost layer-finiteness of a Shunkov group with a strongly embedded group under the conditions that all proper subgroups are almost layer-finite and that the group is periodic.
Keywords: infinite groups, finiteness conditions, layer-finiteness, periodicity. 
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     author = {V. I. Senashov},
     title = {On {Shunkov} {Groups} with a~strongly embedded subgroup},
     journal = {Trudy Instituta matematiki i mehaniki},
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     publisher = {mathdoc},
     volume = {15},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a18/}
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V. I. Senashov. On Shunkov Groups with a~strongly embedded subgroup. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 203-210. http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a18/