English

Conjugacy classes of p-cycles of type D in alternating groups

Quantum Algebra 2014-03-05 v2

Abstract

We classify the conjugacy classes of p-cycles of type D in alternating groups. This finishes the open cases in arXiv:0812.4628. We also determine all the subracks of those conjugacy classes which are not of type D.

Keywords

Cite

@article{arxiv.1211.6293,
  title  = {Conjugacy classes of p-cycles of type D in alternating groups},
  author = {Fernando Fantino},
  journal= {arXiv preprint arXiv:1211.6293},
  year   = {2014}
}

Comments

Second paragraph of subsection 2.2 rewritten. 4-th sentence of subsection 2.4 rewritten. More explanations added in Remark 2.4. Lemma 2.5 and Corollary 2.7 added. Appendix removed and put it as Remark 3.1. Remark 3.2 (former 3.1) reorganized. References: [Da], [EGSS], [H], [IS] added, [GPPS] removed. Communications in Algebra (2014)