On Shunkov Groups with a strongly embedded subgroup

V. I. Senashov

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 203-210

Résumé

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.

Détail

Keywords: infinite groups, finiteness conditions, layer-finiteness, periodicity.

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