Imbedding of countable periodic groups into simple 2-generated periodic groups
Copyright policy )Imbedding of countable periodic groups into simple 2-generated periodic groups
Summary: We prove a theorem on the isomorphic imbedding of an arbitrary countable periodic group \(H\) into a simple 2-generated periodic group \(G\). In addition, we show that for any integers \(k \geq 2\) and \(\ell \geq 3\) the group \(G\) contains a pair of generating elements whose orders are \(k\) and \(\ell\).
- Lomonosov Moscow State University Russian Federation
- Moscow City University Russian Federation
Generators, relations, and presentations of groups, imbedding, generating elements, countable periodic group, Periodic groups; locally finite groups, Subgroup theorems; subgroup growth, Simple groups, simple 2-generated periodic group
Generators, relations, and presentations of groups, imbedding, generating elements, countable periodic group, Periodic groups; locally finite groups, Subgroup theorems; subgroup growth, Simple groups, simple 2-generated periodic group
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