On groups whose conjugacy class sizes are not divisible by each other Full article
| Journal |
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN)
ISSN: 0134-4889 , E-ISSN: 2658-4786 |
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| Output data | Year: 2025, Volume: 31, Number: 4, Pages: 300–308 Pages count : DOI: 10.21538/0134-4889-2025-31-4-300-308 | ||||||
| Tags | prime graph components, finite-groups | ||||||
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Funding (1)
| 1 | Russian Science Foundation | 24-41-10004 |
Abstract:
Let G be a finite group and N(G) be the set of its conjugacy class sizes excluding 1. Let us define a directed graph F(G), the set of vertices of this graph is N(G) and the vertices x and y are connected by an arc from x to y if x divides y and N(G) does not contain a number z different from x and y such that x divides z and z divides y. We will call the graph F(G) the conjugate graph of the group G. In this work, we will study finite groups whose conjugate graph is a set of isolated vertices.
Cite:
Yang N.
, Gorshkov I.
On groups whose conjugacy class sizes are not divisible by each other
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2025. V.31. N4. P.300–308. DOI: 10.21538/0134-4889-2025-31-4-300-308 WOS
On groups whose conjugacy class sizes are not divisible by each other
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2025. V.31. N4. P.300–308. DOI: 10.21538/0134-4889-2025-31-4-300-308 WOS
Dates:
| Published print: | Nov 25, 2025 |
| Published online: | Nov 25, 2025 |
Identifiers:
| Web of science: | WOS:001671047000022 |
Citing:
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