✦ LIBER ✦

Problem 144.: Is the following conjecture true? Conjecture: If G is a simple group, then γ(Z2×G)=σ(Z2×G).

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 50 KB
Volume: 93
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(91)90226-r

No coin nor oath required. For personal study only.

✦ Synopsis

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 least one n, y(A,l) c a(A,,)?

📜 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