Classifying families of character degree graphs of solvable groups
We investigate prime character degree graphs of solvable groups. In particular, we consider a family of graphs $Gamma_{k,t}$ constructed by adjoining edges between two complete graphs in a one-to-one fashion. In this paper we determine completely which graphs $Gamma_{k,t}$ occur as the prime...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2019-12-01
|
| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://ijgt.ui.ac.ir/article_23008_deaa1364fe89480722cccbec3be63f0f.pdf |
| id |
doaj-eba6293b7b874b0e82018899993e0ba4 |
|---|---|
| record_format |
Article |
| spelling |
doaj-eba6293b7b874b0e82018899993e0ba42020-11-24T21:21:35ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692019-12-0184374610.22108/ijgt.2018.110140.147323008Classifying families of character degree graphs of solvable groupsMark Bissler0Jacob Laubacher1Western Governors UniversitySt. Norbert CollegeWe investigate prime character degree graphs of solvable groups. In particular, we consider a family of graphs $Gamma_{k,t}$ constructed by adjoining edges between two complete graphs in a one-to-one fashion. In this paper we determine completely which graphs $Gamma_{k,t}$ occur as the prime character degree graph of a solvable group.http://ijgt.ui.ac.ir/article_23008_deaa1364fe89480722cccbec3be63f0f.pdfCharacter degree graphssolvable groupsfamilies |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mark Bissler Jacob Laubacher |
| spellingShingle |
Mark Bissler Jacob Laubacher Classifying families of character degree graphs of solvable groups International Journal of Group Theory Character degree graphs solvable groups families |
| author_facet |
Mark Bissler Jacob Laubacher |
| author_sort |
Mark Bissler |
| title |
Classifying families of character degree graphs of solvable groups |
| title_short |
Classifying families of character degree graphs of solvable groups |
| title_full |
Classifying families of character degree graphs of solvable groups |
| title_fullStr |
Classifying families of character degree graphs of solvable groups |
| title_full_unstemmed |
Classifying families of character degree graphs of solvable groups |
| title_sort |
classifying families of character degree graphs of solvable groups |
| publisher |
University of Isfahan |
| series |
International Journal of Group Theory |
| issn |
2251-7650 2251-7669 |
| publishDate |
2019-12-01 |
| description |
We investigate prime character degree graphs of solvable groups. In particular, we consider a family of graphs $Gamma_{k,t}$ constructed by adjoining edges between two complete graphs in a one-to-one fashion. In this paper we determine completely which graphs $Gamma_{k,t}$ occur as the prime character degree graph of a solvable group. |
| topic |
Character degree graphs solvable groups families |
| url |
http://ijgt.ui.ac.ir/article_23008_deaa1364fe89480722cccbec3be63f0f.pdf |
| work_keys_str_mv |
AT markbissler classifyingfamiliesofcharacterdegreegraphsofsolvablegroups AT jacoblaubacher classifyingfamiliesofcharacterdegreegraphsofsolvablegroups |
| _version_ |
1725999225300320256 |