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On the Genus of Symmetric Groups

✍ Scribed by Viera Krňanová Proulx

Book ID
125695574
Publisher
American Mathematical Society
Year
1981
Tongue
English
Weight
805 KB
Volume
266
Category
Article
ISSN
0002-9947

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📜 SIMILAR VOLUMES

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, γG denote the genus of the group G, and σ(G) the symmetric genus of G. Is the following conjecture true? Conjecture: For at least one n, γ(An)<σ(An)?
📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 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