Qian, Guohua; Shi, Wujie; You, Xingzhong Conjugacy classes outside a normal subgroup. (English) Zbl 1094.20013 Commun. Algebra 32, No. 12, 4809-4820 (2004). 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 \(G\). Reviewer: Mohammad-Reza Darafsheh (Tehran) Cited in 1 ReviewCited in 11 Documents MSC: 20E45 Conjugacy classes for groups 20D60 Arithmetic and combinatorial problems involving abstract finite groups Keywords:finite groups; characters; unions of conjugacy classes; Frobenius groups; normal complements; Sylow subgroups Citations:Zbl 0990.20020; Zbl 0913.20014 PDFBibTeX XMLCite \textit{G. Qian} et al., Commun. Algebra 32, No. 12, 4809--4820 (2004; Zbl 1094.20013) Full Text: DOI References: [1] Conway J. H., Atlas of Finite Groups (1985) [2] DOI: 10.1016/0021-8693(65)90027-X · Zbl 0192.11902 · doi:10.1016/0021-8693(65)90027-X [3] DOI: 10.1007/978-3-642-64981-3 · Zbl 0217.07201 · doi:10.1007/978-3-642-64981-3 [4] DOI: 10.1007/978-3-642-67997-1 · doi:10.1007/978-3-642-67997-1 [5] Isaacs I. M., Character Theory of Finite Groups (1976) · Zbl 0337.20005 [6] DOI: 10.1006/jabr.1997.7191 · Zbl 0889.20005 · doi:10.1006/jabr.1997.7191 [7] DOI: 10.1090/S0002-9939-02-06452-3 · Zbl 1007.20008 · doi:10.1090/S0002-9939-02-06452-3 [8] DOI: 10.1006/jabr.2000.8426 · Zbl 0965.20004 · doi:10.1006/jabr.2000.8426 [9] DOI: 10.1081/AGB-100001534 · Zbl 0990.20020 · doi:10.1081/AGB-100001534 [10] DOI: 10.1006/jabr.1998.7441 · Zbl 0913.20014 · doi:10.1006/jabr.1998.7441 [11] Shi W., J. Southwest China Teachers Coll 9 (3) pp 9– (1984) [12] DOI: 10.2307/1970648 · Zbl 0184.04605 · doi:10.2307/1970648 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.