Some Properties of Certain Subgroups of Tensor Squares ofp-Groups
Autor: | Mohammad Reza R. Moghaddam, Peyman Niroomand |
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Rok vydání: | 2012 |
Předmět: | |
Zdroj: | Communications in Algebra. 40:1188-1193 |
ISSN: | 1532-4125 0092-7872 |
Popis: | Let G be a finite p-group of order p n and ∇(G) be the subgroup of the tensor square of G generated by all symbols x ⊗ x, for all x in G. In the present article, we construct an upper bound for the order of ∇(G) and any extra special p-group. It is also shown that ∇(G) ≅ ∇(G/G′). Using our result, we obtain the explicit structure of the tensor square of G and π3 SK(G, 1). Finally, the structure of G will be characterized when the bound is attained. |
Databáze: | OpenAIRE |
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