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Characterizing sequences for precompact group topologies
precompact group topology T -sequence TB-sequence characterizing sequence characterized subgroup Bembedded subgroup finest precompact extension
2012/6/19
A precompact group topology $\tau$ on an abelian group $G$ is called {\em single sequence characterized} (for short, {\em ss-characterized}) if there is a sequence $\mathbf{u}= (u_n)$ in $G$ such that...
On General Fibonacci Sequences in Groups
General Fibonacci sequences nilpotent group nilpotency class fundamental period
2010/2/26
In this paper, we have constituted 3-step general Fibonacci sequences in a nilpotent group with exponent p (p is a prime number) and nilpotency class 4 and given formulas to find the a term of the seq...
We have proved that, for the 3-step Fibonacci recurrence and any finite p-group of exponent p and nilpotency class 3, the length of a fundamental period of any loop satisfying the recurrence must divi...