Geodesic
On Some Fully Invariant Subgroups of Summable Groups
Danchev, Peter1
1 Dept. of Mathematics and Statistics Plovdiv University 24 Tzar Assen Str. 4000 Plovdiv, BG BULGARIA
Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 2, pp. 147-152

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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 : 10.5802/ambp.244
Classification : 20K10
Keywords: fully invariant subgroups, $\lambda $-large subgroups, summable groups, free valuated vector spaces

Danchev, Peter 1

1 Dept. of Mathematics and Statistics Plovdiv University 24 Tzar Assen Str. 4000 Plovdiv, BG BULGARIA 
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Danchev, Peter. On Some Fully Invariant Subgroups of Summable Groups. Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 2, pp. 147-152. doi: 10.5802/ambp.244

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