Some Properties of Certain Subgroups of Tensor Squares ofp-Groups

Autor:	Mohammad Reza R. Moghaddam, Peyman Niroomand
Rok vydání:	2012
Předmět:	Combinatorics Algebra and Number Theory Tensor (intrinsic definition) Structure (category theory) Order (group theory) Upper and lower bounds Square (algebra) Mathematics
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
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2812ce81cb12df2ff450ee28a5a828a8 https://doi.org/10.1080/00927872.2010.546185 Zobrazit plný text záznamu