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Conjugacy classes outside a normal subgroup. (English) Zbl 1094.20013
Let \(N\) be a normal subgroup of a finite group \(G\). U. Riese and M. A. Shahabi [Commun. Algebra 29, No. 2, 695-701 (2001; Zbl 0990.20020)] and M. Shahryari and M. A. Shahabi [J. Algebra 207, No. 1, 326-332 (1998; Zbl 0913.20014)] investigated the structure of \(N\) when \(N\) is the union of a few conjugacy classes of \(G\). In the paper under review the authors investigate the structure of \(G\) when \(G-N\) is a union of a few conjugacy classes of \(G\).

MSC:
20E45 Conjugacy classes for groups
20D60 Arithmetic and combinatorial problems involving abstract finite groups
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