On characters in the principal 2-block

Thomas R. Berger, Marcel Herzog

Research output: Contribution to journalArticlepeer-review


Let k be a complex number and let u be an element of a finite group G. Suppose that u does not belong to O(G), the maximal normal subgroup of G of odd order. It is shown that G satisfies X(l) - X(u) = k for every complex nonprincipal irreducible character X in the principal 2-block of G if and only if G/O(G) is isomorphic either to C2, a cyclic group of order 2, or to PSL(2,2″), n [Formula Omitted] 2.

Original languageEnglish
Pages (from-to)264-268
Number of pages5
JournalJournal of the Australian Mathematical Society
Issue number3
StatePublished - May 1978
Externally publishedYes


Dive into the research topics of 'On characters in the principal 2-block'. Together they form a unique fingerprint.

Cite this