Makarenko, N. Yu. and Khukhro, E. I.
(2007)
*Large characteristic subgroups satisfying multilinear commutator identities.*
Doklady Mathematics, 75
(1).
pp. 112-114.
ISSN 1064-5624

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

## Abstract

The transformation of normal subgroups of finite index or Corank, satisfying a multilinear commutator identity into characteristic subgroups is presented. The reduction to the nilpotent groups is carried out by using Hall-Higman-type theorems. A characteristic subgroup with a finite index bounded in terms of n, and the weight of the commuter is obtained with the original subgroup having a finite index n. Similar results are proved for a subgroup that satisfies the identity of an arbitrary multilinear commutator, as well as for a nilpotent normal subgroup with a bound for the rank of the quotient group.

Keywords: | Computational methods, Finite element method, Linear systems, Mathematical transformations, Set theory, Theorem proving, Finite index, Nilpotent groups, Rank, Subgroups, Linear algebra |
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Subjects: | G Mathematical and Computer Sciences > G100 Mathematics |

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

Related URLs: | |

ID Code: | 15600 |

Deposited On: | 14 Nov 2014 09:25 |

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