全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
Mathematics  2010 

Expansion in $SL_d(O_K/I)$, $I$ square-free

DOI: 10.4171/JEMS/302

Full-Text   Cite this paper   Add to My Lib

Abstract:

Let S be a fixed symmetric finite subset of SL_d(O_K) that generates a Zariski dense subgroup of SL_d(O_K) when we consider it as an algebraic group over Q by restriction of scalars. We prove that the Cayley graphs of SL_d(O_K/I) with respect to the projections of S is an expander family if I ranges over square-free ideals of O_K if d=2 and K is an arbitrary numberfield, or if d=3 and K=Q.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133