2019arXiv (Cornell University)Open access

On tensor analogues of commuting automorphisms and central automorphisms

Fahimeh Mohammadzadeh, Hanieh Golmakani, Azam Hokmabadi, E. Mohammadzadeh

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Abstract

In this paper, we introduce the tensor analogues of commuting automorphisms and central automorphisms. Then we give several properties of such automorphisms and apply these new concepts to give some interesting results for $2_\otimes$-Engel elements.

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In this paper, we introduce the tensor analogues of commuting automorphisms and central automorphisms. Then we give several properties of such automorphisms and apply these new concepts to give some interesting results for $2_\otimes$-Engel elements.

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Available abstract

In this paper, we introduce the tensor analogues of commuting automorphisms and central automorphisms. Then we give several properties of such automorphisms and apply these new concepts to give some interesting results for $2_\otimes$-Engel elements.

Key concepts: Automorphism, Tensor (intrinsic definition), Automorphisms of the symmetric and alternating groups, Mathematics, Pure mathematics

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