Makarenko, N. Yu. and Khukhro, E. I.
(1996)
*Nilpotent groups admitting an almost regular automorphism of order four.*
Algebra and Logic, 35
(3).
pp. 176-187.
ISSN 0002-5232

Full text not available from this repository.

Item Type: | Article |
---|---|

Item Status: | Live Archive |

## Abstract

We consider locally nilpotent periodic groups admitting an almost regular automorphism of order 4. The following are results are proved: (1) If a locally nilpotent periodic group G admits an automorphism Ï� of order 4 having exactly m < â�� fixed points, then (a) the subgroup G, Ï�2 contains a subgroup of m-bounded index in G, Ï�2 which is nilpotent of m-bounded class, and (b) the group G contains a subgroup V of m-bounded index such that the subgroup V, Ï�2 is nilpotent of m-bounded class (Theorem 1); (2) If a locally nilpotent periodic group G admits an automorphism Ï� of order 4 having exactly m < â�� fixed points, then it contains a subgroup V of m-bounded index such that, for some m-bounded number f(m), the subgroup V, Ï�2f(m), generated by all f(m)th powers of elements in V, Ï�2

Additional Information: | Supported by RFFR grant No. 94-01-00048 and by ISF grant NQ7000 |
---|---|

Keywords: | Algebra, Logic |

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

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

Related URLs: | |

ID Code: | 15750 |

Deposited On: | 19 Nov 2014 14:21 |

Repository Staff Only: item control page