On Some Fully Invariant Subgroups of Summable Groups
Annales Mathématiques Blaise Pascal, Volume 15 (2008) no. 2, p. 147-152

We show the inheritance of summable property for certain fully invariant subgroups by the whole group and vice versa. The results are somewhat parallel to these due to Linton (Mich. Math. J., 1975) and Linton-Megibben (Proc. Amer. Math. Soc., 1977). They also generalize recent assertions of ours in (Alg. Colloq., 2009) and (Bull. Allah. Math. Soc., 2008)

DOI : https://doi.org/10.5802/ambp.244
Classification:  20K10
Keywords: fully invariant subgroups, $\lambda$-large subgroups, summable groups, free valuated vector spaces
@article{AMBP_2008__15_2_147_0,
author = {Danchev, Peter},
title = {On Some Fully Invariant Subgroups of Summable Groups},
journal = {Annales Math\'ematiques Blaise Pascal},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {15},
number = {2},
year = {2008},
pages = {147-152},
doi = {10.5802/ambp.244},
mrnumber = {2468040},
zbl = {1155.20053},
language = {en},
url = {https://ambp.centre-mersenne.org/item/AMBP_2008__15_2_147_0}
}

Danchev, Peter. On Some Fully Invariant Subgroups of Summable Groups. Annales Mathématiques Blaise Pascal, Volume 15 (2008) no. 2, pp. 147-152. doi : 10.5802/ambp.244. https://ambp.centre-mersenne.org/item/AMBP_2008__15_2_147_0/

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