Minimal embeddings of small finite groups

Robert Heffernan; Brendan McCann

doi:10.22108/ijgt.2019.112560.1497

Minimal embeddings of small finite groups

Robert Heffernan, Brendan McCann

Department of Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We determine the groups of minimal order in which all groups of order n can embedded for 1 ≤ n ≤ 15. We further determine the minimal order of a group in which all groups of order n or less can be embedded, also for 1 ≤ n ≤ 15.

Original language	English
Pages (from-to)	157-183
Number of pages	27
Journal	International Journal of Group Theory
Volume	9
Issue number	3
DOIs	https://doi.org/10.22108/ijgt.2019.112560.1497
Publication status	Published - 2020

Keywords

Embeddings of groups
Minimal embeddings
Small finite groups

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10.22108/ijgt.2019.112560.1497

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title = "Minimal embeddings of small finite groups",

abstract = "We determine the groups of minimal order in which all groups of order n can embedded for 1 ≤ n ≤ 15. We further determine the minimal order of a group in which all groups of order n or less can be embedded, also for 1 ≤ n ≤ 15.",

keywords = "Embeddings of groups, Minimal embeddings, Small finite groups",

author = "Robert Heffernan and Brendan McCann",

note = "Publisher Copyright: {\textcopyright} 2020 University of Isfahan.",

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doi = "10.22108/ijgt.2019.112560.1497",

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KW - Embeddings of groups

KW - Minimal embeddings

KW - Small finite groups

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DO - 10.22108/ijgt.2019.112560.1497

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SP - 157

EP - 183

JO - International Journal of Group Theory

JF - International Journal of Group Theory

SN - 2251-7650

IS - 3

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Minimal embeddings of small finite groups

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Keywords

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