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On the Absence of a Normal Nonabelian Sylow Subgroup

Group Theory 2018-03-20 v1

Abstract

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

Keywords

Cite

@article{arxiv.1803.06691,
  title  = {On the Absence of a Normal Nonabelian Sylow Subgroup},
  author = {Mark W. Bissler and Jacob Laubacher and Corey F. Lyons},
  journal= {arXiv preprint arXiv:1803.06691},
  year   = {2018}
}

Comments

6 pages, 1 figure