References
L.Fuchs, Infinite abelian groups, vol. 2. New York-London 1973.
R. J. Gregorac, On permutational products of groups. J. Austral. Math. Soc.10, 111–135 (1969).
O. Grün, Beiträge zur Gruppentheorie I. J. Reine Angew. Math.174, 1–14 (1935).
K. Hickin, An amalgamation theorem for group extensions. Arch. Math.45, 485–491 (1985).
W.Hodges, Building models by games. Cambridge 1985.
O. H.Kegel and B. A. F.Wehrfritz, Locally finite groups. Amsterdam-London 1973.
F. Leinen, Existentially closedL \(\mathfrak{X}\)-groups. Rend. Sem. Mat. Univ. Padova75, 191–226 (1986).
F. Leinen, Existentially closed groups in locally finite group classes. Comm. Algebra13, 1991–2024 (1985).
F. Leinen, Existentially closed locally finitep-groups. J. Algebra103, 160–183 (1986).
F. Leinen, A uniform way to control chief series in finitep-groups and to construct the countable algebraically closed locally finitep-groups. J. London Math. Soc. (2)33, 260–270 (1986).
F. Leinen, An amalgamation theorem for soluble groups. Canad. Math. Bull.30, 9–18 (1987).
B. Maier, Existenziell abgeschlossene lokal endlichep-Gruppen. Arch. Math.37, 113–128 (1981).
B. Maier, Two remarks on amalgams of locally finite groups. Bull. Austral. Math. Soc.36, 461–468 (1987).
B. H. Neumann, On amalgams of periodic groups. Proc. Roy. Soc. London (A)255, 477–489 (1960).
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Leinen, F. Amalgamation of locally finitep-groups over a countableFC-group. Arch. Math 52, 321–332 (1989). https://doi.org/10.1007/BF01194406
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DOI: https://doi.org/10.1007/BF01194406