On groups that have normal forms computable in logspace

Publication Type:
Journal Article
Citation:
Journal of Algebra, 2013, 381 pp. 260 - 281
Issue Date:
2013-05-01
Full metadata record
Files in This Item:
Filename Description Size
F8B57839-23C8-49D6-BA04-816A53317285 am.pdfAccepted Manuscript Version284.61 kB
Adobe PDF
We consider the class of finitely generated groups which have a normal form computable in logspace. We prove that the class of such groups is closed under passing to finite index subgroups, direct products, wreath products, and certain free products and infinite extensions, and includes the solvable Baumslag-Solitar groups, as well as non-residually finite (and hence non-linear) examples. We define a group to be logspace embeddable if it embeds in a group with normal forms computable in logspace. We prove that finitely generated nilpotent groups are logspace embeddable. It follows that all groups of polynomial growth are logspace embeddable. © 2013 Elsevier Inc.
Please use this identifier to cite or link to this item: