The symmetric genus of alternating and symmetric groups
type: Item
instance of: scholarly article
title: The symmetric genus of alternating and symmetric groups
zbMATH Open document ID: 0547.20002
DOI: 10.1016/0095-8956(85)90047-4
author: Marston D. E. Conder
published in: Journal of Combinatorial Theory. Series B
publication date: 1985-01-01T00:00:00Z
review text: The symmetric genus of a finite group G has been defined by Thomas W. Tucker as the smallest genus of all surfaces on which G acts faithfully as a group of automorphisms (some of which may reverse the orientation of the surface). This note announces the symmetric genus of all finite alternating and symmetric groups.
Mathematics Subject Classification ID: 20B30
Mathematics Subject Classification ID: 20F34
Mathematics Subject Classification ID: 05C10
zbMATH DE Number: 3871613
zbMATH Keywords: genus of surfaces
zbMATH Keywords: group of automorphisms
zbMATH Keywords: symmetric genus
zbMATH Keywords: symmetric groups
MaRDI profile type: Publication
full work available at URL: 0095-8956(85)90047-4
OpenAlex ID: W2071404119
cites work: Generators for Alternating and Symmetric Groups
cites work: MORE ON GENERATORS FOR ALTERNATING AND SYMMETRIC GROUPS
cites work: Some results on quotients of triangle groups
cites work: Finite groups acting on surfaces and the genus of a group
cites work: The Number of Groups of a given Genus
cites work: On the Genus of a Group
description: scientific article; zbMATH DE number 3871613