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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. ...
On maximal subfields of enveloping skewfields in prime characteristics
On maximal subfields enveloping skewfields prime characteristics
2010/11/9
As was shown by J. Schue, there always exist two maximal subfields of the enveloping skewfield of a solvable Lie p-algebra, such that one is Galois and the second purely inseparable of exponent 1 over...
Riemann hypothesis and some new asymptotically multiplicative integrals which contain the remainder of the prime-counting function $\pi(x)$
Riemann hypothesis asymptotically multiplicative integrals
2010/11/9
A new parametric integral is obtained as a consequence of the Riemann hypothesis. An asymptotic multiplicability is the main property of this integral
<正> In the theory of p-groups,or groups whose orders are powers ofa prime p,there are a number of the so-called“Anzahl”theoremswhich relate to the number of sub-groups with a certain property.Weshall ...
Simple Divisibility Rules for the 1st 1000 Prime Numbers
Simple Divisibility Rules 1st 1000 Prime Numbers
2010/10/29
Simple divisibility rules are given for the 1st 1000 prime numbers.