CONJUGACY SEPARABILITY OF SOME ONE-RELATOR GROUPS D. Tieudjo and D. I. Moldavanskii
نویسندگان
چکیده
Conjugacy separability of any group of the class of one-relator groups given by the presentation 〈a, b; [am, bn] = 1〉 (m, n > 1) is proven.
منابع مشابه
Conjugacy Separability of Some One-Relator Groups
Conjugacy separability of any group of the class of one-relator groups given by the presentation a, b; a m , b n 1m, n > 1 is proven. The proof made used of theoretical combinatorial group methods, namely the structure of amalgamated free products and some properties of the subgroups and quotients of any group of the class of one-relator groups given above.
متن کاملON THE AUTOMORPHISMS OF SOME ONE-RELATOR GROUPS D. Tieudjo and D. I. Moldavanskii
The description of the automorphism group of group 〈a, b; [am, bn] = 1〉 (m, n > 1) in terms of generators and defining relations is given. This result is applied to prove that any normal automorphism of every such group is inner. 2000 Mathematics Subject Classification: primary 20F28, 20F05; secondary 20E06.
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