✦ LIBER ✦

The four-dimensional Schoenflies conjecture is true for genus two imbeddings

✍ Scribed by Martin Scharlemann

Publisher: Elsevier Science
Year: 1984
Tongue: English
Weight: 488 KB
Volume: 23
Category: Article
ISSN: 0040-9383
DOI: 10.1016/0040-9383(84)90040-5

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Problem 141. : The genus of a Cayley gra

Problem 141. : The genus of a Cayley graph is the smallest genus of any surface on which the graph can be imbedded. The genus of a group G is the smallest genus of all connected Cayley graphs on G. Is it true that for each genus g, there is a group of genus g?

📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 69 KB

acceptable if they are not as widely known as they deserve.

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