اخبار و اعلانات

 آمار

تعداد نشریات43
تعداد شماره‌ها1,792
تعداد مقالات14,622
تعداد مشاهده مقاله38,848,038
تعداد دریافت فایل اصل مقاله15,132,611
Burkett, Shawn, Lewis, Mark. (1401). A characterization of GVZ groups in terms of fully ramified characters. , 11(2), 121-124. doi: 10.22108/ijgt.2021.127210.1673
Shawn T. Burkett; Mark L. Lewis. "A characterization of GVZ groups in terms of fully ramified characters". , 11, 2, 1401, 121-124. doi: 10.22108/ijgt.2021.127210.1673
Burkett, Shawn, Lewis, Mark. (1401). 'A characterization of GVZ groups in terms of fully ramified characters', , 11(2), pp. 121-124. doi: 10.22108/ijgt.2021.127210.1673
Burkett, Shawn, Lewis, Mark. A characterization of GVZ groups in terms of fully ramified characters. , 1401; 11(2): 121-124. doi: 10.22108/ijgt.2021.127210.1673

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
[1] S. T. Burkett and M. L. Lewis, Characters with nontrivial center modulo their kernel, preprint.

[2] S. T. Burkett and M. L. Lewis, GVZ-groups, flat groups, and CM-groups, C. R. Math. Acad. Sci. Paris, 359 (2021)
355–361.

[3] S. T. Burkett and M. L. Lewis, Partial GVZ-groups, J. Algebra, 581 (2021) 50–62.

[4] F. R. DeMeyer and G. J. Janusz, Finite groups with an irreducible representation of large degree, Math. Z., 108
(1969) 145–153.

[5] A. Espuelas, On certain groups of central type, Proc. Amer. Math. Soc., 97 (1986) 16–18.

[6] S. M. Gagola, Jr., Characters fully ramified over a normal subgroup, Pacific J. Math., 55 (1974) 107–126.

[7] R. B. Howlett and I. M. Isaacs, On groups of central type, Math. Z., 179 (1982) 555–569.

[8] I. M. Isaacs, Character theory of finite groups, Dover Publications, Inc., New York, 1994.

[9] I. M. Isaacs, Characters of solvable groups, American Mathematical Society, Providence, RI, 2018.

[10] M. L. Lewis, Groups where the centers of the irreducible characters form a chain, Monatsh. Math., 192 (2020) 371–399.

[11] M. Murai, Characterizations of p-nilpotent groups, Osaka J. Math., 31 (1994) 1–8.

[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.

آمار
تعداد مشاهده مقاله: 1,719
تعداد دریافت فایل اصل مقاله: 1,517


سامانه مدیریت نشریات علمی. طراحی و پیاده سازی از سیناوب