1,045 research outputs found
Abelian Carter subgroups in finite permutation groups
We show that a finite permutation group containing a regular abelian
self-normalizing subgroup is soluble.Comment: 6 page
INTERACTION OF JAPANESE RICE AND WHEAT POLICY AND THE IMPACT ON TRADE
International Relations/Trade,
On (n+1/2)-Engel groups
Let n be a positive integer. We say that a group G is an (n+1/2)-Engel group if it satisfies the law [ x, y n, x ] = 1. The variety of (n+1/2)-Engel groups lies between the varieties of n-Engel groups and (n+1) -Engel groups. In this paper, we study these groups, and in particular, we prove that all (4+1/2)-Engel-groups are locally nilpotent. We also show that if G is a (4+1/2)-Engel p-group, where p ≥ 5 is a prime, then Gp is locally nilpotent
On (n+1/2)-Engel groups
Let n be a positive integer. We say that a group G is an (n+1/2)-Engel group if it satisfies the law [x,yn,x]=1.
The variety of (n+1/2)-Engel groups lies between the varieties of n-Engel groups and (n+1)-Engel groups.
In this paper, we study these groups, and in particular, we prove that all (4+1/2)-Engel {2,3}-groups are locally nilpotent.
We also show that if G is a (4+1/2)-Engel p-group, where p≥5is a prime, then G^p is locally nilpotent
Reply to Sheward et al.: Two sampling issues in using Primer IDs
[No abstract available
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