Amalgamation bases for nil-2 groups of odd exponent

Details Amalgamation bases for nil-2 groups of odd exponent Amalgamation bases for nil-2 groups of odd exponent

2000-06-08

arxiv.org/abs/math/0006065v1

Mathematics

Group Theory

29 pages, LaTeX with ajour.cls package

Scientific paper

We study the strong, weak, and special amalgamation bases in the varieties of nilpotent groups of class two and exponent n, where n is odd. The main result is a characterization of the special amalgamation bases for these varieties. We also characterize the weak and strong bases. For special amalgamation bases, we show that there are groups which are special bases in varieties of finite exponent but not in the variety of all nil-2 groups, whereas for weak and strong bases we show this is not the case. We also show that in these varieties, as well as the variety of all nil-2 groups, a group has an absolute closure (in the sense of Isbell) if and only if it is already absolutely closed, i.e. if and only if it is a special amalgamation base.

Affiliated with

Also associated with

No associations

Rating

Amalgamation bases for nil-2 groups of odd exponent does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Amalgamation bases for nil-2 groups of odd exponent, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Amalgamation bases for nil-2 groups of odd exponent will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-407658