Projects per year
Abstract
The prime graph question asks whether the Gruenberg–Kegel graph of an integral group ring ℤG, i.e. the prime graph of the normalized unit group of ℤG, coincides with that one of the group G. In this note, we prove for finite groups G a reduction of the prime graph question to almost simple groups. We apply this reduction to finite groups G whose order is divisible by at most three primes and show that the Gruenberg–Kegel graph of such groups coincides with the prime graph of G.
Original language | English |
---|---|
Pages (from-to) | 619-631 |
Number of pages | 13 |
Journal | International Journal of Algebra and Computation |
Volume | 27 |
Issue number | 06 |
DOIs | |
Publication status | Published - 24 Aug 2017 |
Keywords
- Integral group rings
- Torsion units
- Gruenberg–Kegel graph
Fingerprint
Dive into the research topics of 'On the Gruenberg–Kegel graph of integral group rings of finite groups'. Together they form a unique fingerprint.Projects
- 1 Finished
-
CoDiMa: CoDiMa (CCP in the area of Computational Discrete Mathematics)
Linton, S. A. (PI) & Konovalov, O. (CoI)
1/03/15 → 29/02/20
Project: Standard