An application of blocks to torsion units in group rings

Andreas Bächle, Leo Margolis

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We use the theory of blocks of cyclic defect to prove that under a certain condition on the principal p-block of a finite group G the normalized unit group of the integral group ring of G contains an element of order pq if and only if so does G, for q a prime different from p. Using this we verify the Prime Graph Question for all alternating and symmetric groups and also for two sporadic simple groups.
Original languageEnglish
Pages (from-to)4221-4231
Number of pages11
JournalProceedings of the American Mathematical Society
Issue number10
Publication statusPublished - 2019


Dive into the research topics of 'An application of blocks to torsion units in group rings'. Together they form a unique fingerprint.

Cite this