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010 a| 2022048349;

020 a| 9781470453831q| (paperback);

020 z| 9781470472290q| (epub);

035 a| (WaSeSS)ssj0002763068;

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100 1 a| Li, Cai Heng.?| UNAUTHORIZED;

245 10 a| Factorizations of almost simple groups with a solvable factor, and cayley graphs of solvable groupsh| [electronic resource] /c| Cai Heng Li, Binzhou Xia.;

260 a| Providence :b| American Mathematical Society,c| [2022];

300 a| v, 99 pages ;c| 26 cm;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| Volume 279, Number 1375 (fourth of 6 numbers);

504 a| Includes bibliographical references.;

506 a| Available only to authorized users.;

520 a| "A characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out that there are only several infinite families of these nontrivial factorizations, and an almost simple group with such a factorization cannot have socle exceptional Lie type or orthogonal of minus type. The characterization is then applied to study s-arc-transitive Cayley graphs of solvable groups, leading to a striking corollary that, except for cycles, a non-bipartite connected 3-arc-transitive Cayley graph of a finite solvable group is necessarily a normal cover of the Petersen graph or the Hoffman-Singleton graph"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Finite groups.=| ^A33784;

650 0 a| Group theory.=| ^A17120;

650 7 a| Group theory and generalizations -- Abstract finite groups -- Products of subgroups.2| msc;

650 7 a| Group theory and generalizations -- Abstract finite groups -- Simple groups: alternating groups and groups of Lie type.2| msc;

650 7 a| Group theory and generalizations -- Abstract finite groups -- Simple groups: sporadic groups.2| msc;

650 7 a| Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures.2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Xia, Binzhou.?| UNAUTHORIZED;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=29731927;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6513202-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 1/14/2025x| EBOOKz| HERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6513202-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 1/14/2025x| EBOOKz| JERESOURCE;

Factorizations of almost simple groups with a solvable factor, and cayley graphs of solvable groups / Cai Heng Li, Binzhou Xia.

Author/creator	Li, Cai Heng
Other author	Xia, Binzhou.
Format	Electronic
Publication Info	Providence : American Mathematical Society, [2022]
Description	v, 99 pages ; 26 cm
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Finite groups. Group theory.

Series	Memoirs of the American Mathematical Society, 0065-9266 ; Volume 279, Number 1375 (fourth of 6 numbers)
Abstract	"A characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out that there are only several infinite families of these nontrivial factorizations, and an almost simple group with such a factorization cannot have socle exceptional Lie type or orthogonal of minus type. The characterization is then applied to study s-arc-transitive Cayley graphs of solvable groups, leading to a striking corollary that, except for cycles, a non-bipartite connected 3-arc-transitive Cayley graph of a finite solvable group is necessarily a normal cover of the Petersen graph or the Hoffman-Singleton graph"-- Provided by publisher.
Bibliography note	Includes bibliographical references.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2022048349
ISBN	9781470453831 (paperback)
ISBN	(epub)

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Factorizations of almost simple groups with a solvable factor, and cayley graphs of solvable groups / Cai Heng Li, Binzhou Xia.

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