The probabilistic zeta function

Authors

Bret Benesh, College of Saint Benedict/Saint John's UniversityFollow

Document Type

Conference Proceeding

Publication Date

2010

Disciplines

Algebra | Mathematics

Abstract

This paper is a summary of results on the P_G(s) function, which is the reciprocal of the probabilistic zeta function for finite groups. This function gives the probability that s randomly chosen elements generate a group G, and information about the structure of the group G is embedded in it.

Comments

First published in Contemporary Mathematics Volume 511: Computational Group Theory and the Theory of Groups, II in 2010, published by the American Mathematical Society.

Copyright ©2010 American Mathematical Society CC BY-NC-ND 2.0

DOI: 10.1090/conm/511

Recommended Citation

Benesh B. 2010. The probabilistic zeta function. In: Kappe L-C, Magidin A, Morse RF, editors. Contemporary Mathematics 511: Computational Group Theory and the Theory of Groups, II, Harlaxton Conference on Computational Group Theory and Cohomology, August 4-8, 2008, Harlaxton College, Grantham, United Kingdom. Providence (RI): American Mathematical Society. p. 1-9.