On Characters in the Principal 2-Block, Ii

Marcel Herzog, Cheryl E. Praeger

Research output: Contribution to journalArticlepeer-review

Abstract

Let k be a non-zero complex number and let u and v be elements of a finite group G. Suppose that at most one of u and v belongs to O(G), the maximal normal subgroup of G of odd order. It is shown that G satisfies X(v) — 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 to one of the following groups: C2, PSL(2, 2n) or PΣL(2, 52a+1), where n≥2 and a≥1.

Original languageEnglish
Pages (from-to)100-106
Number of pages7
JournalJournal of the Australian Mathematical Society
Volume28
Issue number1
DOIs
StatePublished - 1 Aug 1979

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