The shape of solvable groups with odd order

Authors

Stephen P. Glasby, Central Washington University

Document Type

Conference Proceeding

Department or Administrative Unit

Mathematics

Publication Date

2007

Abstract

We prove that the minimal composition length, c, of a solvable group with solvable length d satisfies 9^(d−3)/9(d+1)/5, and the minimal composition length, c^o, of a group with odd order and solvable length d satisfies 7^(d−2)/5o<2^d.

Comments

This article was originally published in Groups St Andrews 2005. The full-text article from the publisher can be found here.

Due to copyright restrictions, this article is not available for free download from ScholarWorks @ CWU.

Recommended Citation

Glasby, S. P. (2007). The shape of solvable groups with odd order. Groups St Andrews 2005, 432–437. https://doi.org/10.1017/cbo9780511721205.006

Journal

Groups St Andrews 2005