A correction to a result of B. Maier

2001/02/27 by Arturo Magidin, Magidin, Arturo
Mathematics · #08B25 #18A30 #20E06 #20E10 #20F18 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:08B25 #msc:18A30 #msc:20E06 #msc:20E10 #msc:20F18

paper · pdf · doi:10.48550/arxiv.math/0102215

Four pages, LaTeX file

arxiv created 2001/02/27 · arxiv updated 2009/11/30

Abstract

In a 1985 paper, Berthold J. Maier gave necessary and sufficient conditions for the weak embeddability of amalgams of two nilpotent groups of class two over a common subgroup. Then he derived simpler conditions for some special cases. One of his subsequent results is incorrect, and we provide a counterexample. Finally, we provide a fix for the result.

Related

• Amalgams of nilpotent groups of class two
• Amalgamating inverse semigroups over ample semigroups
• A non-LEA Sofic Group
• Malnormal Subgroups of Finitely Presented Groups
• A modified proof for Higman's embedding theorem