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A Conjectured Minimum Degree Determinantal Polynomial: Problem 86-19

✍ Scribed by P. R. Vein

Book ID: 124939882
Publisher: Society for Industrial and Applied Mathematics
Year: 1986
Tongue: English
Weight: 78 KB
Volume: 28
Category: Article
ISSN: 0036-1445
DOI: 10.2307/2031109

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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)?

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## 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