<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, will show that a symmetric group of prime degree p ≥ 5 is recognizable by its order and a special conjugacy class size of (p − 1)!.</p></abstract>

In this paper, will show that a symmetric group of prime degree p ≥ 5 is recognizable by its order and a special conjugacy class size of (p − 1)!.

New characterization of symmetric groups of prime degree

Department of Mathematics, Buinzahra Branch

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

New characterization of symmetric groups of prime degree

Published Online: Aug 05, 2017

Page range: 5 - 12

Received: Jul 27, 2016

DOI: https://doi.org/10.1515/ausm-2017-0001

Keywords
finite group, conjugacy class length, symmetric group

© 2017 A. K. Asboei et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

New characterization of symmetric groups of prime degree

Published Online: Aug 05, 2017

Page range: 5 - 12

Received: Jul 27, 2016

DOI: https://doi.org/10.1515/ausm-2017-0001

Keywordsfinite group, conjugacy class length, symmetric group

© 2017 A. K. Asboei et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
finite group, conjugacy class length, symmetric group