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The symmetric genus of alternating and symmetric groups

โœ Scribed by Marston D.E Conder

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
514 KB
Volume
39
Category
Article
ISSN
0095-8956

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Problem 142. : The symmetric genus of a
Problem 142. : The symmetric genus of a group G is the minimum genus of a surface on which G acts. Let An denote the alternating group of degree n, ฮณG denote the genus of the group G, and ฯƒ(G) the symmetric genus of G. Is the following conjecture true? Conjecture: For at least one n, ฮณ(An)<ฯƒ(An)?
๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 50 KB

## Reseirrch problems Problem 142. The symmetric genus of a group G is the minimum genus of a surface on which G acts. Let A, denote the alternating group of degree n, y(G) denote the genus of the group G, and a(G) the symmetric genus of G. Is the following conjecture true? Conjecture: For at leas