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 №9 of the 6th Competition of Scientific Projects of Young Researchers of Russian Academy of Sciences, 1999.

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