A characterization of GVZ groups in terms of fully ramified characters

نویسندگان
Burkett, Shawn T. ID 1
Lewis, Mark L. ID 2

1 Department of Mathematical Sciences, Kent State University Kent, Ohio 44242, U.S.A.

2 Department of Mathematical Sciences, Kent State University Kent, Ohio 44242, U.S.A.

doi
10.22108/ijgt.2021.127210.1673
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