On Conjugacy $p$-Separability of Free Products of Two Groups with Amalgamation
Matematičeskie zametki, Tome 76 (2004) no. 4, pp. 502-509.

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

It is proved that a free product of two finite $p$-groups with amalgamated central subgroups is a conjugacy $p$-separable group. With the help of this result, it is proved that a free product with amalgamated subgroups of two finitely generated Abelian groups is a residually finite $p$-group if and only if it is conjugacy $p$-separable.
@article{MZM_2004_76_4_a2,
     author = {E. A. Ivanova},
     title = {On {Conjugacy} $p${-Separability} of {Free} {Products} of {Two} {Groups} with {Amalgamation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {502--509},
     publisher = {mathdoc},
     volume = {76},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a2/}
}
TY  - JOUR
AU  - E. A. Ivanova
TI  - On Conjugacy $p$-Separability of Free Products of Two Groups with Amalgamation
JO  - Matematičeskie zametki
PY  - 2004
SP  - 502
EP  - 509
VL  - 76
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a2/
LA  - ru
ID  - MZM_2004_76_4_a2
ER  - 
%0 Journal Article
%A E. A. Ivanova
%T On Conjugacy $p$-Separability of Free Products of Two Groups with Amalgamation
%J Matematičeskie zametki
%D 2004
%P 502-509
%V 76
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a2/
%G ru
%F MZM_2004_76_4_a2
E. A. Ivanova. On Conjugacy $p$-Separability of Free Products of Two Groups with Amalgamation. Matematičeskie zametki, Tome 76 (2004) no. 4, pp. 502-509. http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a2/

[1] Dyer J. L., “Separating conjugates in amalgamated free products and HNN extensions”, Austral. Math. Soc. Ser. A, 29 (1980), 35–51 | DOI | MR | Zbl

[2] Baumslag G., “On the residual finiteness of generalised free products of nilpotent groups”, Trans. Amer. Math. Soc., 106 (1963), 193–209 | DOI | MR | Zbl

[3] Higman G., “Amalgams of $p$-groups”, J. Algebra, 1 (1964), 301–305 | DOI | MR | Zbl

[4] Azarov D. N., Ivanova E. A., “O nilpotentnoi approksimiruemosti svobodnogo proizvedeniya s ob'edineniem lokalno nilpotentnykh grupp”, Nauch. tr. IvGU. Ser. Matem., T. 2, Izd-vo IvGU, Ivanovo, 1999, 5–7

[5] Stebe P. F., “A residual property of certain groups”, Proc. Amer. Math. Soc., 26 (1970), 37–42 | DOI | MR | Zbl

[6] Lindon R., Shupp P., Kombinatornaya teoriya grupp, Mir, M., 1980

[7] Magnus V., Karras A., Soliter D., Kombinatornaya teoriya grupp, Nauka, M., 1974 | Zbl

[8] Neumann B. H., “An essay on free products of groups with amalgamations”, Philos. Trans. Roy. Soc. London Ser. A, 246 (1954), 503–554 | DOI | MR | Zbl