On the group defined for any given field by the multiplication table of any given finite group

On the Commutators of a given Group

we observe that the transform, with respect to any operator of 6r, of the commutators formed with t and the operators of G is the product of two such commutators. All of these commutators must, therefore, form a group which is transformed into itself by G. When t transforms G into itself the given commutators generate the smallest self-conjugate subgroup of G which has the property that all of ...

Solving Linear Equations Modulo Divisors: On Factoring Given Any Bits

We study the problem of finding solutions to linear equations modulo an unknown divisor p of a known composite integer N . An important application of this problem is factorization of N with given bits of p. It is well-known that this problem is polynomial-time solvable if at most half of the bits of p are unknown and if the unknown bits are located in one consecutive block. We introduce an heu...

study of cohesive devices in the textbook of english for the students of apsychology by rastegarpour

this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...

Graphs with given Group

On the Valued Function Fields with given Value Group and Residue Field or with given Residue Field and Genus

The valued function fields with given value group and residue field or with given genus and residue field are studied.