On a 2-generated infinite 3-group: Subgroups and automorphisms (Q1091468)
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scientific article; zbMATH DE number 4010768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a 2-generated infinite 3-group: Subgroups and automorphisms |
scientific article; zbMATH DE number 4010768 |
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On a 2-generated infinite 3-group: Subgroups and automorphisms (English)
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1987
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This is the second of two papers [for the first see the preceding review] dealing with aspects of a certain 2-generator infinite 3-group G defined by the author and N. D. Gupta as a group of automorphisms of an infinite tree. In this second paper he investigates the subgroups and conjugacy classes of G with a view to determining the automorphism group A of G. He shows after lengthy analysis that A is a split extension of H by a Klein 4-group, where H is in turn a split extension of G by an infinite elementary abelian 3-group.
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2-generator infinite 3-group
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group of automorphisms
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infinite tree
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subgroups
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conjugacy classes
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automorphism group
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split extension
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