skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Pengitore, Mark"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; (, journal of Groups, complexity, cryptology)
    In this article, we study the asymptotic behaviour of conjugacy separabilityfor wreath products of abelian groups. We fully characterise the asymptoticclass in the case of lamplighter groups and give exponential upper and lowerbounds for generalised lamplighter groups. In the case where the base group isinfinite, we give superexponential lower and upper bounds. We apply our resultsto obtain lower bounds for conjugacy depth functions of various wreath productsof groups where the acting group is not abelian. 
    more » « less
    Full Text Available 
  2. ; ; (, Proceedings of the Edinburgh Mathematical Society)
    Abstract A group is said to have rational growth with respect to a generating set if the growth series is a rational function. It was shown by Parry that certain torus bundle groups of even trace exhibits rational growth. We generalize this result to a class of torus bundle groups with odd trace. 
    more » « less
    Full Text Available 
  3. ; (, Bulletin of the London Mathematical Society)
    Full Text Available 
  4. ; (, Pacific Journal of Mathematics)
    Full Text Available