Молимо вас користите овај идентификатор за цитирање или овај линк до ове ставке:
https://open.uns.ac.rs/handle/123456789/20281
Назив: | A study of enhanced power graphs of finite groups | Аутори: | Zahirović Samir Bošnjak Ivica Madaras-Silađi Rozalija |
Датум издавања: | 2019 | Часопис: | Journal of Algebra and its Applications | Сажетак: | © 2020 World Scientific Publishing Company. The enhanced power graph e(G) of a group G is the graph with vertex set G such that two vertices x and y are adjacent if they are contained in the same cyclic subgroup. We prove that finite groups with isomorphic enhanced power graphs have isomorphic directed power graphs. We show that any isomorphism between undirected power graph of finite groups is an isomorphism between enhanced power graphs of these groups, and we find all finite groups G for which Aut(e(G) is abelian, all finite groups G with |Aut(e(G)| being prime power, and all finite groups G with |Aut(e(G)| being square-free. Also, we describe enhanced power graphs of finite abelian groups. Finally, we give a characterization of finite nilpotent groups whose enhanced power graphs are perfect, and we present a sufficient condition for a finite group to have weakly perfect enhanced power graph. | URI: | https://open.uns.ac.rs/handle/123456789/20281 | ISSN: | 0219-4988 | DOI: | 10.1142/S0219498820500620 |
Налази се у колекцијама: | PMF Publikacije/Publications |
Приказати целокупан запис ставки
SCOPUSTM
Навођења
12
проверено 20.05.2023.
Преглед/и станица
40
Протекла недеља
10
10
Протекли месец
0
0
проверено 10.05.2024.
Google ScholarTM
Проверите
Алт метрика
Ставке на DSpace-у су заштићене ауторским правима, са свим правима задржаним, осим ако није другачије назначено.