We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
ON SOME SUBGROUPS ASSOCIATED WITH THE TENSOR SQUARE OF A GROUP.
- Authors
NASRABADI, M. M.; GHOLAMIAN, A.; SADEGHIFARD, M. J.
- Abstract
In this paper we present some results about subgroup which is generalization of the sub- group R⊗ 2 (G) = {a ∈ G∣[a; g] ⊗ g = 1⊗ , ∀g ڰ G} of right 2⊗ -Engel elements of a given group G. If p is an odd prime, then with the help of these results, we obtain some results about tensor squares of p-groups satisfying the law [x; g; y] ⊗ g = 1⊗ϵ , for all x; g; y ϵ G. In particular p-groups satisfying the law [x; g; y] ⊗ g = 1 ⊗ have abelian tensor squares. Moreo⊗ver, we can determine tensor squares of two-generator p-groups of class three satisfying the law [x; g; y] ⊗ g = 1⊗.
- Subjects
PRODUCTS of subgroups; TENSOR algebra; ABELIAN groups; ENGEL'S law; PRIME numbers
- Publication
International Journal of Group Theory, 2013, Vol 2, Issue 2, p25
- ISSN
2251-7650
- Publication type
Article