Sarmin, N. H. and Beuerle, James R.
(2012)
*Some applications of metacyclic p-groups of nilpotency class two.*
Research Journal of Applied Sciences, Engineering and Technology, 4
(23).
pp. 5217-5221.
ISSN 2040-7459

Full text not available from this repository.

## Abstract

A group G is metacyclic if it contains a cyclic normal subgroup K such that G/K is also cyclic. Metacyclic p-groups classified by different authors. King classified metacyclic p-groups. Beuerle (2005) classified all finite metacyclic p-groups. A group is called capable if it is a central factor group. The purpose of this study is to compute the epicenter of finite nonabelian metacyclic p-groups of nilpotency class two, for some small order groups, using Groups, Algorithms and Programming (GAP) software. We also determine which of these groups are capable.

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

Uncontrolled Keywords: | groups, nonabelian metacyclic p-groups, algorithms |

Subjects: | Q Science |

Divisions: | Science |

ID Code: | 47522 |

Deposited By: | Narimah Nawil |

Deposited On: | 22 Jun 2015 13:56 |

Last Modified: | 29 Feb 2020 21:19 |

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