NDLI: THE TWO-ARC-TRANSITIVE GRAPHS OF SQUARE-FREE ORDER ADMITTING ALTERNATING OR SYMMETRIC GROUPS

Content Provider	Scilit
Author	Wang, Gai Xia Lu, Zai Ping
Copyright Year	2017
Description	Let $G$ be a finite group with $\mathsf{soc}(G)=\text{A}_{c}$ for $c\geq 5$ . A characterization of the subgroups with square-free index in $G$ is given. Also, it is shown that a $(G,2)$ -arc-transitive graph of square-free order is isomorphic to a complete graph, a complete bipartite graph with a matching deleted or one of $11$ other graphs.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/08835F6C07361A0A7CD858B8C4BCC7DB/S1446788717000040a.pdf/div-class-title-the-two-arc-transitive-graphs-of-square-free-order-admitting-alternating-or-symmetric-groups-div.pdf
Ending Page	144
Page Count	18
Starting Page	127
ISSN	14467887
e-ISSN	14468107
DOI	10.1017/s1446788717000040
Journal	Journal of the Australian Mathematical Society
Issue Number	1
Volume Number	104
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2018-02-01
Access Restriction	Open
Subject Keyword	Journal of the Australian Mathematical Society Primary 20b15 Secondary 20b30 Symmetric Graph transitive Graph Automorphism Group
Content Type	Text
Resource Type	Article
Subject	Mathematics

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THE TWO-ARC-TRANSITIVE GRAPHS OF SQUARE-FREE ORDER ADMITTING ALTERNATING OR SYMMETRIC GROUPS