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On some systems of generators of symmetric and alternating groups which allow a simple software implementation

โœ Scribed by Shaposhnikov, I.G.


Book ID
120137535
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2004
Tongue
English
Weight
58 KB
Volume
14
Category
Article
ISSN
0924-9265

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Problem 142. : The symmetric genus of a
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