A CHARACTERIZATION OF GVZ GROUPS IN TERMS OF FULLY RAMIFIED CHARACTERS

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BURKETT SHAWN J.; LEWIS MARK L.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2022 | Volume:11 | Issue:2 Page(s): 121-124

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Title

A CHARACTERIZATION OF GVZ GROUPS IN TERMS OF FULLY RAMIFIED CHARACTERS

Author(s)

BURKETT SHAWN J. | LEWIS MARK L. | Issue Writer Certificate

Keywords

GVZ groups

p-groups

fully rami

ed characters

Abstract

Throughout this paper, all groups are , nite. For a group G, we write Irr(G) for the set of irreducible characters of G. In this paper, we present a new characterization of GVZ-groups. A group G is a GVZ-group if every irreducible character ,2 Irr(G) satis, es that ,vanishes on G n Z(, ). The term GVZ-group was introduced by Nenciu in [12]. Nenciu continued the study of GVZ-groups in [13] and the second author further continued these studies in [10]. In our paper [2], we showed that GVZ-groups can be characterized in terms of another class of groups that have appeared in the literature. . .

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APA: Copy

BURKETT, SHAWN J., & LEWIS, MARK L.. (2022). A CHARACTERIZATION OF GVZ GROUPS IN TERMS OF FULLY RAMIFIED CHARACTERS. INTERNATIONAL JOURNAL OF GROUP THEORY, 11(2), 121-124. SID. https://sid.ir/paper/1004085/en

Vancouver: Copy

BURKETT SHAWN J., LEWIS MARK L.. A CHARACTERIZATION OF GVZ GROUPS IN TERMS OF FULLY RAMIFIED CHARACTERS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2022;11(2):121-124. Available from: https://sid.ir/paper/1004085/en

IEEE: Copy

SHAWN J. BURKETT, and MARK L. LEWIS, “A CHARACTERIZATION OF GVZ GROUPS IN TERMS OF FULLY RAMIFIED CHARACTERS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 11, no. 2, pp. 121–124, 2022, [Online]. Available: https://sid.ir/paper/1004085/en

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