Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On nilpotent groups of automorphisms of Klein surfaces

Authors: Emilio Bujalance and Grzegorz Gromadzki
Journal: Proc. Amer. Math. Soc. 108 (1990), 749-759
MSC: Primary 20H10; Secondary 14H99, 30F35
MathSciNet review: 993743
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The nilpotent group of automorphisms of a bordered Klein surface $ X$ of algebraic genus $ {\mathbf{q}} \geq 2$ is known to have at most $ 8({\mathbf{q}} - 1)$ elements. Moreover this bound is attained if and only if $ {\mathbf{q}} - 1$ is a power of 2. In this paper we prove that if $ X$ is nonorientable and $ {\mathbf{q}} \geq 3$ then the bound in question can be sharpened to $ 4{\mathbf{q}}$ which gives a negative answer to a conjecture of May [16]. We also solve another problem of May [16] finding bounds for the $ p$-groups of automorphisms of Klein surfaces.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20H10, 14H99, 30F35

Retrieve articles in all journals with MSC: 20H10, 14H99, 30F35

Additional Information

PII: S 0002-9939(1990)0993743-6
Keywords: Klein surfaces, algebraic genus, automorphism, nilpotent group
Article copyright: © Copyright 1990 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia