On a Combinatorial Problem in Group Theory

A protective relay system for power system is disclosed which receives electrical information from several points of a power transmission line via optical fiber transmission line to protect the system from a line fault. Instruction is sent to the respective points when a line fault phenomenon is detected from the information received for separating it from the power system. The system has high immunity from electrical noise in the process of information transmission to obtain improved response.

[1]  A. L. Shmel’kin.  Polycyclic groups , 1968 .

[2]  N. Trabelsi.  Characterisation of nilpotent-by-finite groups , 2000, Bulletin of the Australian Mathematical Society.

[3]  John S. Rose.  A Course on Group Theory , 2012 .

[4]  G. Endimioni.  Groups covered by finitely many nilpotent subgroups , 1994, Bulletin of the Australian Mathematical Society.

[5]  P. Longobardi,et al.  Finitely generated soluble groups with an Engel condition on infinite subsets , 1993 .

[6]  B. Taeri.  A question of Paul Erdös and nilpotent-by-finite groups , 2001 .

[7]  A. Rhemtulla,et al.  Locally graded groups with a nilpotency condition on infinite subsets , 2000, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

[8]  Some conditions on infinite subsets of infinite groups. , 1999 .

[9]  B. H. Neumann,et al.  A problem of Paul Erdös on groups , 1976, Journal of the Australian Mathematical Society.

[10]  A Condition on a Certain Variety of Groups. , 2000 .

[12]  J. E. Roseblade,et al.  Centrality in finitely generated soluble groups , 1970 .

[13]  A. Abdollahi,et al.  ON A CLASS OF INFINITE RINGS , 2001 .

[14]  B. Taeri.  A combinatorial condition on a certain variety of groups , 2001 .

[15]  A. Rhemtulla,et al.  Groups with no free subsemigroups , 1995 .

[16]  G. Endimioni.  Groupes finis satisfaisant la condition (N, n) , 1994 .

[17]  G. Endimioni.  On a combinatorial problem in varieties of groups , 1995 .

[18]  A condition on finitely generated soluble groups , 1999 .

[19]  Some Engel conditions on infinite subsets of certain groups , 2000, Bulletin of the Australian Mathematical Society.

[20]  E. I. Zel'manov.  ON SOME PROBLEMS OF GROUP THEORY AND LIE ALGEBRAS , 1990 .