Torsion units in integral group ring of Higman-Sims simple group-Reference-Cited by-同舟云学术

Torsion units in integral group ring of Higman-Sims simple group

Published:2010-03-01 Issue:1 Volume:47 Page:1-11
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
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Author:

Bovdi Victor,Konovalov Alexander¹

Affiliation:

1. 2 College of Nyíregyháza Institute of Mathematics and Informatics Sóstói út 31/b H-4410 Nyíregyháza Hungary

Abstract

Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Higman-Sims simple sporadic group HS. As a consequence, we confirm Kimmerle’s conjecture on prime graphs for this sporadic group.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.2009.1102

Reference25 articles.

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2. Kimmerle conjecture for the Held and O’Nan sporadic simple groups;Bovdi V.;Sci. Math. Jpn.,2009

3. Integral group ring of Rudvalis simple group;Bovdi V.;Ukrain. Math. Zh.,2009

4. Zassenhaus conjecture for central extensions of S5;Bovdi V.;J. Group Theory,2008

5. On the first Zassenhaus conjecture for integral group rings;Bovdi V.;Publ. Math. Debrecen,2004

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