Geodesic
The Congruence Property of AT-Groups
Algebra i logika, Tome 41 (2002) no. 5, pp. 553-567

Voir la notice de l'article provenant de la source Math-Net.Ru

An AT-group is said to possess the congruence property if every normal subgroup of that group contains a congruence subgroup. We construct a series of examples of periodic AT-groups without this property. Moreover, we give an example of a periodic group which has a decidable conjugacy problem but lacks conjugacy separability.
Mots-clés : AT-group
Keywords: periodic group, congruence property, conjugacy problem, conjugacy separability. 
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     author = {E. L. Pervova},
     title = {The {Congruence} {Property} of {AT-Groups}},
     journal = {Algebra i logika},
     pages = {553--567},
     publisher = {mathdoc},
     volume = {41},
     number = {5},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2002_41_5_a2/}
}
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E. L. Pervova. The Congruence Property of AT-Groups. Algebra i logika, Tome 41 (2002) no. 5, pp. 553-567. http://geodesic.mathdoc.fr/item/AL_2002_41_5_a2/