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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Triangles of groups


Author: Andrew Chermak
Journal: Trans. Amer. Math. Soc. 347 (1995), 4533-4558
MSC: Primary 20E06; Secondary 20F32, 57M07
MathSciNet review: 1316847
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Abstract: Given a certain commutative diagram of groups and monomorphisms, does there necessarily exist a group in which the given diagram is essentially a diagram of subgroups and inclusions? In general, the answer is negative, but J. Corson, and Gersten and Stallings have shown that in the case of a "non-spherical triangle" of groups the answer is positive. This paper improves on these results by weakening the non-sphericality requirement.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1995-1316847-6
PII: S 0002-9947(1995)1316847-6
Article copyright: © Copyright 1995 American Mathematical Society