Vol. 109, No. 2, 1983

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ISSN: 0030-8730
Characters vanishing on all but two conjugacy classes

Stephen Michael Gagola, Jr.

Vol. 109 (1983), No. 2, 363–385
Abstract

If the character table of a group G has a row (corresponding to an irreducible character) with precisely two nonzero entries, then G has a unique minimal normal subgroup N which is necessarily an elementary abelian p-group for some prime p. The group G∕Op(G) is completely determined here. In general, there is no bound on the derived length or nilpotence class of Op(G).

Mathematical Subject Classification 2000
Primary: 20C15
Milestones
Received: 5 January 1982
Revised: 24 January 1983
Published: 1 December 1983
Authors
Stephen Michael Gagola, Jr.