Loops and the Lagrange property
群论
2016-09-07 v1
摘要
Let be a family of finite loops closed under subloops and factor loops. Then every loop in has the strong Lagrange property if and only if every simple loop in has the weak Lagrange property. We exhibit several such families, and indicate how the Lagrange property enters into the problem of existence of finite simple loops.
关键词
引用
@article{arxiv.math/0205141,
title = {Loops and the Lagrange property},
author = {Orin Chein and Michael K. Kinyon and Andrew Rajah and Petr Vojtechovsky},
journal= {arXiv preprint arXiv:math/0205141},
year = {2016}
}
备注
4 pages, LaTeX2e, uses natbib.sty, submitted to Results in Mathematics