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Nilpotency in automorphic loops of prime power order
Nilpotency automorphic loops prime power order
2010/11/9
A loop is automorphic if its inner mappings are automorphisms. Using so-called associated operations, we show that every commutative automorphic loop of odd prime power order is centrally nilpotent. ...
Special 2-flags in lengths not exceeding four: a study in strong nilpotency of distributions
strong nilpotency distributions
2010/11/12
In the recent years, a number of issues concerning distributions generating 1- flags (called also Goursat flags) has been analyzed. Presently similar questions are discussed as regards distributions ...
We consider a Weitzenb\"ock derivation $\Delta$ acting on a polynomial ring $R=K[\xi_1,\xi_2,...,\xi_m]$ over a field $K$ of characteristic 0. The $K$-algebra $R^\Delta = \{h \in R \mid \Delta(h) = 0...
The Orbit Method for Finite Groups of Nilpotency Class Two of Odd Order
The Orbit Method Finite Groups Nilpotency Class
2010/10/29
First, I construct an isomorphism between the categories of (topological) groups of nilpotency class 2 with 2-divisible center and (topological) Lie rings of nilpotency class 2 with 2-divisible center...