arXiv Analytics

Sign in

arXiv:math/0105233 [math.GR]AbstractReferencesReviewsResources

Amalgams of nilpotent groups of class two

Arturo Magidin

Published 2001-05-28Version 1

We give necessary and sufficient conditions for weak and strong embeddability of amalgams in each subvariety of the category of all nilpotent groups of class at most two; this generalizes B. Maier's result for the latter class. We also discuss dominions (in the sense of Isbell), and characterize the weak, strong, and special amalgamation bases for each subvariety, contrasting the resulting classes with one another.

Comments: 73 pp., LaTex with ajour.cls
Journal: Journal of Algebra v. 274, no. 1 (2004) pp. 1-63
Categories: math.GR
Subjects: 20E06, 20F18, 08B25, 20E10
Related articles: Most relevant | Search more
arXiv:0802.1796 [math.GR] (Published 2008-02-13)
Geometric structure of class two nilpotent groups and subgroup growth
arXiv:math/0102215 [math.GR] (Published 2001-02-27)
A correction to a result of B. Maier
arXiv:math/0006065 [math.GR] (Published 2000-06-08)
Amalgamation bases for nil-2 groups of odd exponent

Links

Toolbox