Almost layer-finiteness of the periodic part of a group without involutions

V. I. Senashov ; V. P. Shunkov

Diskretnaya Matematika, Tome 15 (2003) no. 3, pp. 91-104

Résumé

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 No9 of the 6th Competition of Scientific Projects of Young Researchers of Russian Academy of Sciences, 1999.

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