Khukhro, E. I. and Makarenko, N. Y.
(2007)
*Large characteristic subgroups satisfying multilinear commutator identities.*
Journal of the London Mathematical Society, 75
(3).
pp. 635-646.
ISSN 0024-6107

Full text not available from this repository.

Item Type: | Article |
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Item Status: | Live Archive |

## Abstract

It is proved that if a group G has a subgroup H of finite index n satisfying a multilinear commutator identity (H) = 1, then G has also a characteristic subgroup C satisfying the same identity (C) = 1 and having finite index bounded in terms of n and the weight of . As an illustration, the result on characteristic subgroups is applied to a finite group with an almost regular automorphism of order 4 to obtain a subgroup S of bounded index with a 'strong' bound for the nilpotency class of Î³3(S). Â© 2007 London Mathematical Society.

Additional Information: | First published online: July 11, 2007 |
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Keywords: | Group theory |

Subjects: | G Mathematical and Computer Sciences > G100 Mathematics |

Divisions: | College of Science > School of Mathematics and Physics |

Related URLs: | |

ID Code: | 15598 |

Deposited On: | 31 Oct 2014 15:50 |

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