<abstract xmlns="http://www.w3.org/1999/xhtml"> Let p be a prime number. In this paper, we work on the efficiency of the p-groups G1 and G2 defined by the presentations,<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/5942_auom_33_2.jpg"></inline-graphic>here α ≥ β > γ ≥ 1 and<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/5942_auom_161_1.jpg"></inline-graphic> where α ≥ 2γ, β > γ ≥ 1 and α + β > 3. For example, if we let p = 2, then by [1], the groups defined by these presentations becomes 2-groups. It is known that these groups play an important role in the theory of groups of nilpotency class 2.</abstract>

Let p be a prime number. In this paper, we work on the efficiency of the p-groups G1 and G2 defined by the presentations,here α ≥ β > γ ≥ 1 and where α ≥ 2γ, β > γ ≥ 1 and α + β > 3. For example, if we let p = 2, then by [1], the groups defined by these presentations becomes 2-groups. It is known that these groups play an important role in the theory of groups of nilpotency class 2.

On the efficiency of some p-groups

Department of Mathematics, Balikesir University, 10145 Balikesir, Turkiye

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On the efficiency of some p-groups"}

Let p be a prime number. In this paper, we work on the efficiency of the p-groups G1 and G2 defined by the presentations,here α ≥ β > γ ≥ 1 and where α ≥ 2γ, β...

On the efficiency of some p-groups

Published Online: Apr 22, 2017

Page range: 33 - 43

Received: Feb 01, 2014

Accepted: May 01, 2014

DOI: https://doi.org/10.1515/auom-2015-0023

Keywords
Efficiency, pictures, p-groups

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On the efficiency of some p-groups

Published Online: Apr 22, 2017

Page range: 33 - 43

Received: Feb 01, 2014

Accepted: May 01, 2014

DOI: https://doi.org/10.1515/auom-2015-0023

KeywordsEfficiency, pictures, p-groups

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Efficiency, pictures, p-groups