A family of graphs that cannot occur as character degree graphs of solvable groups

被引：0

作者：

Bissler, Mark W. ^{[1
]}

Laubacher, Jacob ^{[2
]}

Lewis, Mark L. ^{[3
]}

机构：

[1] Western Governors Univ, Dept Gen Educ, Salt Lake City, UT 84107 USA

[2] St Norbert Coll, Dept Math, De Pere, WI 54115 USA

[3] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

来源：

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2024年

关键词：

Character degree graphs; Solvable groups; Family of graphs;

D O I：

10.1007/s13366-024-00764-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate character degree graphs of solvable groups. In particular, we provide general results that can be used to eliminate which degree graphs can occur for solvable groups. Finally, we show a specific family of graphs cannot occur as a character degree graph for any solvable group.

引用

页数：12

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