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On the Genus of a Group

✍ Scribed by Arthur T. White

Book ID: 125685522
Publisher: American Mathematical Society
Year: 1972
Tongue: English
Weight: 352 KB
Volume: 173
Category: Article
ISSN: 0002-9947
DOI: 10.2307/1996269

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📜 SIMILAR VOLUMES

Some results on the genus of a group

✍ Thomas W. Tucker 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 115 KB 👁 1 views

## Abstract This Note announces two results on the genus of a group. First, there is exactly one group of genus two, thus answering a question of V. K. Proulx. Second, the genus of the full symmetric group of degree __n__ is __n__!/168 + 1, for all __n__ > 167.

Finite groups acting on surfaces and the

Finite groups acting on surfaces and the genus of a group

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✍ Charalampos Charitos; Ioannis Papadoperakis; Georgios Tsapogas 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 334 KB

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On a function on the mapping class group of a surface of genus 2

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We study representations of subgroups of the mapping class group M g of a surface of genus g 2 arising from the actions of them on the first cohomology groups of the surface with local coefficient systems which are defined by nontrivial homomorphisms π 1 (Σ g , \* ) → Z 2 = Aut(Z). As an application

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.