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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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##### References:
 [1] Conway J. H., Atlas of Finite Groups (1985) [2] DOI: 10.1016/0021-8693(65)90027-X · Zbl 0192.11902 [3] DOI: 10.1007/978-3-642-64981-3 · Zbl 0217.07201 [4] 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 [7] DOI: 10.1090/S0002-9939-02-06452-3 · Zbl 1007.20008 [8] DOI: 10.1006/jabr.2000.8426 · Zbl 0965.20004 [9] DOI: 10.1081/AGB-100001534 · Zbl 0990.20020 [10] DOI: 10.1006/jabr.1998.7441 · Zbl 0913.20014 [11] Shi W., J. Southwest China Teachers Coll 9 (3) pp 9– (1984) [12] DOI: 10.2307/1970648 · Zbl 0184.04605
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