On the absence of a normal nonabelian Sylow subgroup

Authors

Mark W. Bisslier, Western Governors University
Jacob Laubacher, St. Norbert College
Corey F. Lyons, Colorado State University

Files

Description

Let G be a finite solvable group. We show that G does not have a normal nonabelian Sylow p-subgroup when its prime character degree graph Δ(G) satisfies a technical hypothesis. Δ(G)">

Publication Date

12-17-2018

Publisher

Taylor & Francis

Keywords

character degree graphs, finite solvable groups, normal nonabelian subgroup

Comments

“This is the Author’s Original Manuscript of an article published by Taylor & Francis in Communications in Algebra on December 17, 2018, available online: https://www.tandfonline.com/doi/abs/10.1080/00927872.2018.1498871

Recommended Citation

Bisslier, Mark W.; Laubacher, Jacob; and Lyons, Corey F., "On the absence of a normal nonabelian Sylow subgroup" (2018). Faculty Creative and Scholarly Works. 23.
https://digitalcommons.snc.edu/faculty_staff_works/23