On the range of finite embeddings of a finite amalgam
Glasgow mathematical journal, Tome 13 (1972) no. 2, pp. 142-143
Voir la notice de l'article provenant de la source Cambridge University Press
Certain questions about the range of finite embeddings of a finite amalgam were discussed in [3]. Another pertinent question is the following.If a finite reduced amalgam has both an infinite and a finite embedding, does it have a maximal finite embedding such that all other finite embeddings are its homomorphic images? We give a counter example to answer this question in the negative. The finite amalgam considered will involve a group from the family of groups of the type (l, m; n, k) discussed by Coxeter [2] having the following presentationThese groups may be regarded as factor groups ofwhich is known to be finite ifand infinite otherwise.
Majeed, Abdul. On the range of finite embeddings of a finite amalgam. Glasgow mathematical journal, Tome 13 (1972) no. 2, pp. 142-143. doi: 10.1017/S0017089500001555
@article{10_1017_S0017089500001555,
author = {Majeed, Abdul},
title = {On the range of finite embeddings of a finite amalgam},
journal = {Glasgow mathematical journal},
pages = {142--143},
year = {1972},
volume = {13},
number = {2},
doi = {10.1017/S0017089500001555},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001555/}
}
[1] 1.Burnside, W., Theory of groups of finite order (Cambridge, 1911). Google Scholar
[2] 2.Coxeter, H. S. M., The abstract groups Gm,n,p, Trans Amer. Math. Soc. 45 (1939), 73–150. Google Scholar
[3] 3.Majeed, A., On embeddable finite amalgams of groups, Glasgow Math. J. 13 (1972), 135–141. Google Scholar | DOI
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