Units of integral group rings of hamiltonian groupsFootnote^*
^*This paper was written while the authors visited the Universidade de Sao Paulo. The research was done with partial support of NSERC-grant OGP0036631 (Canada), CNP_q and FAPESP (Brazil).

Eric Jespers Department of Mathematics and Statistics, Memorial University of Newfoundland, Canada

G. Leal Instituto de Matemática, Univexsidade Federal do Rio de Janeiro, Brazil

Abstract

We give a finite set of generators for a subgroup of finite index of the unit group of an integral group ring of an Hamiltonian group the order of which is only divisible by 2 and primes that are congruent to 3 modulo 8. An application is given to the unit group of the integral group ring of nilpotent groups.

^*This paper was written while the authors visited the Universidade de Sao Paulo. The research was done with partial support of NSERC-grant OGP0036631 (Canada), CNP_q and FAPESP (Brazil).

Notes

^*This paper was written while the authors visited the Universidade de Sao Paulo. The research was done with partial support of NSERC-grant OGP0036631 (Canada), CNP_q and FAPESP (Brazil).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Units of integral group rings of hamiltonian groupsFootnote^*
^*This paper was written while the authors visited the Universidade de Sao Paulo. The research was done with partial support of NSERC-grant OGP0036631 (Canada), CNP_q and FAPESP (Brazil).

Information for

Open access

Opportunities

Help and information

Your download is now in progress and you may close this window

Login or register to access this feature

Units of integral group rings of hamiltonian groupsFootnote**This paper was written while the authors visited the Universidade de Sao Paulo. The research was done with partial support of NSERC-grant OGP0036631 (Canada), CNPq and FAPESP (Brazil).

Abstract

Notes

Reprints and Corporate Permissions

Academic Permissions

Related research

To cite this article:

Download citation

Information for

Open access

Opportunities

Help and information

Keep up to date

Units of integral group rings of hamiltonian groupsFootnote^*
^*This paper was written while the authors visited the Universidade de Sao Paulo. The research was done with partial support of NSERC-grant OGP0036631 (Canada), CNP_q and FAPESP (Brazil).