Intersections of finitely generated free groups

Nickolas P. (1985) Intersections of finitely generated free groups. Bulletin of the Australian Mathematical Society, 31 3: 339-348. doi:10.1017/S0004972700009291


Author Nickolas P.
Title Intersections of finitely generated free groups
Journal name Bulletin of the Australian Mathematical Society   Check publisher's open access policy
ISSN 1755-1633
Publication date 1985-01-01
Sub-type Article (original research)
DOI 10.1017/S0004972700009291
Open Access Status
Volume 31
Issue 3
Start page 339
End page 348
Total pages 10
Subject 2600 Mathematics
Abstract A result of Howson is that two finitely generated subgroups U and V of a free group have finitely generated intersection. Hanna Neumann showed further that, if m, n and N are the ranks of U, V and U ∩ V respectively, then N ≤ 2(m−1)(n−1) + 1, and Burns strengthened this, showing that N ≤ 2(m−1)(n−1) − m + 2 (if m ≤ n). This paper presents a new and simple proof of Burns' result. Further, the graph-theoretical ideas used provide still stronger bounds in certain special cases.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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Created: Tue, 14 Jun 2016, 16:54:27 EST by System User