Enumerating conjugacy classes of graphical groups over finite fields

Tobias Rossmann

doi:10.1112/blms.12665

Enumerating conjugacy classes of graphical groups over finite fields

Tobias Rossmann

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

4 Citations (Scopus)

Abstract

Each graph and choice of a commutative ring gives rise to an associated graphical group. In this article, we introduce and investigate graph polynomials that enumerate conjugacy classes of graphical groups over finite fields according to their sizes.

Original language	English
Pages (from-to)	1923-1943
Number of pages	21
Journal	Bulletin of the London Mathematical Society
Volume	54
Issue number	5
DOIs	https://doi.org/10.1112/blms.12665
Publication status	Published - Oct 2022

Access to Document

10.1112/blms.12665

Cite this

@article{69e843afdb174f349b355a9b98d6a0b7,

title = "Enumerating conjugacy classes of graphical groups over finite fields",

abstract = "Each graph and choice of a commutative ring gives rise to an associated graphical group. In this article, we introduce and investigate graph polynomials that enumerate conjugacy classes of graphical groups over finite fields according to their sizes.",

author = "Tobias Rossmann",

note = "Publisher Copyright: {\textcopyright} 2022 The Authors. Bulletin of the London Mathematical Society is copyright {\textcopyright} London Mathematical Society.",

year = "2022",

month = oct,

doi = "10.1112/blms.12665",

language = "English",

volume = "54",

pages = "1923--1943",

journal = "Bulletin of the London Mathematical Society",

issn = "0024-6093",

publisher = "John Wiley and Sons Ltd",

number = "5",

}

TY - JOUR

T1 - Enumerating conjugacy classes of graphical groups over finite fields

AU - Rossmann, Tobias

PY - 2022/10

Y1 - 2022/10

N2 - Each graph and choice of a commutative ring gives rise to an associated graphical group. In this article, we introduce and investigate graph polynomials that enumerate conjugacy classes of graphical groups over finite fields according to their sizes.

AB - Each graph and choice of a commutative ring gives rise to an associated graphical group. In this article, we introduce and investigate graph polynomials that enumerate conjugacy classes of graphical groups over finite fields according to their sizes.

UR - http://www.scopus.com/inward/record.url?scp=85127941621&partnerID=8YFLogxK

U2 - 10.1112/blms.12665

DO - 10.1112/blms.12665

M3 - Article

SN - 0024-6093

VL - 54

SP - 1923

EP - 1943

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 5

ER -

Enumerating conjugacy classes of graphical groups over finite fields

Abstract

Access to Document

Other files and links

Fingerprint

Cite this