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RUP
FAMNIT - Faculty of Mathematics, Science and Information Technologies
FHŠ - Faculty of Humanities
FM - Faculty of Management
FTŠ Turistica - Turistica – College of Tourism Portorož
FVZ - Faculty of Health Sciences
IAM - Andrej Marušič Institute
PEF - Faculty of Education
UPR - University of Primorska
ZUP - University of Primorska Press
COBISS
University of Primorska, University Library - all departments
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Title:
Some new compatible groups
Authors:
ID
Ding, Zhaochen
(
Author
)
ID
Verret, Gabriel
(
Author
)
Files:
RAZ_Ding_Zhaochen_2026.pdf
(1,49 MB)
MD5: BE55E7772D07BD69B54EC8F6BCBEC0E5
https://www.sciencedirect.com/science/article/pii/S002186932600102X
Language:
English
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
FAMNIT - Faculty of Mathematics, Science and Information Technologies
Abstract:
Two finite groups $L_1$ and $L_2$ are compatible if there exists a finite group $G$ with isomorphic normal subgroups $N_1$ and $N_2$ such that $L_1 \cong G/N_1$ and $L_2 \cong G/N_2$. We prove a new sufficient condition for two groups to be compatible. As a corollary, we obtain that nilpotent groups of the same order are compatible, and so are groups of the same square-free order.
Keywords:
compatibility
,
finite nilpotent groups
,
p-groups
Publication version:
Version of Record
Year of publishing:
2026
Number of pages:
str. 168-213
Numbering:
Vol. 696
PID:
20.500.12556/RUP-22825
UDC:
512.542
ISSN on article:
0021-8693
DOI:
10.1016/j.jalgebra.2026.02.016
COBISS.SI-ID:
272478467
Publication date in RUP:
20.03.2026
Views:
122
Downloads:
6
Metadata:
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Record is a part of a journal
Title:
Journal of algebra
Shortened title:
J. algebra
Publisher:
Academic Press
ISSN:
0021-8693
COBISS.SI-ID:
1310986
Document is financed by a project
Funder:
Other - Other funder or multiple funders
Funding programme:
Marsden Fund
Project number:
18-UOA-197
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Secondary language
Language:
Slovenian
Abstract:
Dve končni grupi $L_1$ in $L_2$ sta združljivi, če obstaja končna grupa $G$ z izomorfnima normalnima podgrupama $N_1$ in $N_2$, tako da velja $L_1 \cong G/N_1$ in $L_2 \cong G/N_2$. V delu dokažemo nov zadostni pogoj za združljivost dveh grup. Kot posledico izpeljemo, da so nilpotentne grupe istega reda združljive, prav tako pa tudi grupe istega reda brez kvadratnih faktorjev (angl. square-free order).
Keywords:
kompatibilnost
,
končne nilpotentne grupe
,
p-grupe
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