Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/two-conditions-for-infinite-groups-to-satisfy-certain-laws-B5FhEJUCem
References (10)
-
L. Spiezia (1994)
A property of the variety of 2-Engel groupsRendiconti del Seminario Matematico della Università di Padova, 91
-
G. Endimioni (1995)
On a combinatorial problem in varieties of groupsCommunications in Algebra, 23
-
D. Robinson (1982)
A Course in the Theory of Groups -
A. Abdollahi, B. Taeri (1999)
Some conditions on infinite subsets of infinite groups., 22
-
O. Kegel, B. Wehrfritz (1973)
Locally finite groups -
B. Neumann, Jennifer Wallis (1976)
A problem of Paul Erdös on groupsJournal of the Australian Mathematical Society, 21
-
L. Spiezia (1995)
A characterization of third Engel groupsArchiv der Mathematik, 64
-
A. Abdollahi (1999)
A characterization of infinite 3-abelian groupsArchiv der Mathematik, 73
-
P. Longobardi, M. Maj, A. Rhemtulla (1992)
Infinite groups in a given variety and ramsey's theoremCommunications in Algebra, 20
-
A. Abdollahi, B. Taeri (2000)
A Condition on a Certain Variety of Groups.Rendiconti del Seminario Matematico della Università di Padova, 104
- Publisher
- Springer Journals
- Copyright
- Copyright © 2003 by AMSS CAS
- Subject
- Mathematics; Algebra; Algebraic Geometry
- ISSN
- 1005-3867
- DOI
- 10.1007/s100110300009
- Publisher site
- See Article on Publisher Site
Abstract
Let G be an infinite group and . In this paper, we prove that G satisfies the law if and only if in any two infinite subsets X and Y of G , there exist and such that . We also prove that G satisfies the law if and only if in any n infinite subsets , there exist such that .
Journal
Algebra Colloquium – Springer Journals
Published: Mar 1, 2003