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A characterization of GVZ groups in terms of fully ramified characters | ||
International Journal of Group Theory | ||
دوره 11، شماره 2، شهریور 2022، صفحه 121-124 اصل مقاله (174.6 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2021.127210.1673 | ||
نویسندگان | ||
Shawn T. Burkett؛ Mark L. Lewis* | ||
Department of Mathematical Sciences, Kent State University Kent, Ohio 44242, U.S.A. | ||
چکیده | ||
In this paper, we obtain a characterization of GVZ-groups in terms of commutators and monolithic quotients. This characterization is based on counting formulas due to Gallagher. | ||
کلیدواژهها | ||
GVZ groups؛ $p$-groups؛ fully ramified characters | ||
مراجع | ||
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[12] A. Nenciu, Isomorphic character tables of nested GVZ-groups, J. Algebra Appl., 11 (2012) 12 pp.
[13] A. Nenciu, Nested GVZ-groups, J. Group Theory, 19 (2016) 693–704.
[14] H. Tandra, and W. Moran, Flatness conditions on finite p-groups, Comm. Algebra, 32 (2004) 2215–2224. | ||
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