NORMAL AUTOMORPHISMS OF FREE BURNSIDE GROUPS OF LARGE ODD EXPONENTS

DOI10.1142/S0218196706003268zbMath1115.20024MaRDI QIDQ3421597

E. A. Cherepanov

Publication date: 7 February 2007

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

automorphism groupsperiodic groupsouter automorphismsfree Burnside groupsnormal automorphismsnormal embeddings

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (14)

Local-global invariants of finite and infinite groups: around Burnside from another side. ⋮ Normal automorphisms of free groups of infinitely based varieties ⋮ Non-\(\varphi\)-admissible normal subgroups of free Burnside groups. ⋮ On outer normal automorphisms of periodic products of groups. ⋮ On automorphisms and embeddings of free periodic groups. ⋮ The normalizers of free subgroups in free Burnside groups of odd period \(n\geq 1003\). ⋮ Automorphism groups and endomorphism semigroups of groups \(B(m,n)\). ⋮ Periodic products of groups ⋮ Normal automorphisms of relatively hyperbolic groups ⋮ On normal subgroups in the periodic products of S. I. Adyan. ⋮ The Fibonacci automorphism of free Burnside groups ⋮ Unnamed Item ⋮ THE GROUPS OF AUTOMORPHISMS ARE COMPLETE FOR FREE BURNSIDE GROUPS OF ODD EXPONENTS n ≥ 1003 ⋮ The automorphisms of endomorphism semigroups of free burnside groups

Cites Work

• Normal automorphisms of free profinite groups
• Normal automorphisms of free groups
• Normal automorphisms of free groups

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