Finite groups whose intersection power graphs are toroidal and projective-planar

The intersection power graph of a finite group GG is the graph whose vertex set is GG, and two distinct vertices xx and yy are adjacent if either one of xx and yy is the identity element of GG, or ⟨x⟩∩⟨y⟩\langle x\rangle \cap \langle y\rangle is non-trivial. In this paper, we completely classify al...

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Main Authors:	Li Huani, Ma Xuanlong, Fu Ruiqin
Format:	article
Language:	EN
Published:	De Gruyter 2021
Subjects:	intersection power graph finite group genus 05c25 05c10 Mathematics QA1-939
Online Access:	https://doaj.org/article/3b33d0997ca442ac8997357f503c1c89
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spelling	oai:doaj.org-article:3b33d0997ca442ac8997357f503c1c892021-12-05T14:10:53ZFinite groups whose intersection power graphs are toroidal and projective-planar2391-545510.1515/math-2021-0071https://doaj.org/article/3b33d0997ca442ac8997357f503c1c892021-08-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0071https://doaj.org/toc/2391-5455The intersection power graph of a finite group GG is the graph whose vertex set is GG, and two distinct vertices xx and yy are adjacent if either one of xx and yy is the identity element of GG, or ⟨x⟩∩⟨y⟩\langle x\rangle \cap \langle y\rangle is non-trivial. In this paper, we completely classify all finite groups whose intersection power graphs are toroidal and projective-planar.Li HuaniMa XuanlongFu RuiqinDe Gruyterarticleintersection power graphfinite groupgenus05c2505c10MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 850-862 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	intersection power graph finite group genus 05c25 05c10 Mathematics QA1-939
spellingShingle	intersection power graph finite group genus 05c25 05c10 Mathematics QA1-939 Li Huani Ma Xuanlong Fu Ruiqin Finite groups whose intersection power graphs are toroidal and projective-planar
description	The intersection power graph of a finite group GG is the graph whose vertex set is GG, and two distinct vertices xx and yy are adjacent if either one of xx and yy is the identity element of GG, or ⟨x⟩∩⟨y⟩\langle x\rangle \cap \langle y\rangle is non-trivial. In this paper, we completely classify all finite groups whose intersection power graphs are toroidal and projective-planar.
format	article
author	Li Huani Ma Xuanlong Fu Ruiqin
author_facet	Li Huani Ma Xuanlong Fu Ruiqin
author_sort	Li Huani
title	Finite groups whose intersection power graphs are toroidal and projective-planar
title_short	Finite groups whose intersection power graphs are toroidal and projective-planar
title_full	Finite groups whose intersection power graphs are toroidal and projective-planar
title_fullStr	Finite groups whose intersection power graphs are toroidal and projective-planar
title_full_unstemmed	Finite groups whose intersection power graphs are toroidal and projective-planar
title_sort	finite groups whose intersection power graphs are toroidal and projective-planar
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/3b33d0997ca442ac8997357f503c1c89
work_keys_str_mv	AT lihuani finitegroupswhoseintersectionpowergraphsaretoroidalandprojectiveplanar AT maxuanlong finitegroupswhoseintersectionpowergraphsaretoroidalandprojectiveplanar AT furuiqin finitegroupswhoseintersectionpowergraphsaretoroidalandprojectiveplanar
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Finite groups whose intersection power graphs are toroidal and projective-planar

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