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Rene P. Felix

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Dr. Rene P. Felix is recognized of his researches in mathematics, particularly group theory and mathematical crystallography. Dr. Felix has worked on the sublattices of orthogonal lattices; rectangular, square and hexagonal lattices on the plane; the subgroups of finite index of a free Abelian group of rank w; and the ideals of the rings of endomorphisms of a finite Abelian P-group.

Sex: Male

Education:

  • University of the Philippines(UP), Diliman, Quezon City, B.S. Mathematics, 1969
  • UP, Diliman, Quezon City, M.S. Mathematics, 1973
  • UP, Diliman, Quezon City, Ph.D. in Mathematics, 1980

Field of Specialization:

Mathematics, Group Theory, Mathematical Cystallography

Researches:

Felix, R.P., (1973) Reduced abelian primary groups
Master's Thesis - Dr. Lucie de Munter Adviser

Felix, R.P., (1980) On the subgroups and the ring of endomorphisms of a finite abelianp-group
Doctoral Dissertation, Dr. Heinrich Kuhn, Adviser

Felix, R.P., (1980 ) The ideals of the ring of endomorphism of a finite abelian group
Natural and Applied Science Bulletin

Felix, R.P., Kuhn, H., Balmaceda, J., Cejalvo, F., Trance, A.S., (1983 ) Subgroups of the plane crystallographic groups
Research Report

Felix, R.P., (1983 ) Illustrating Group Theory Ideas by Means of Rubik's Cube
Matimyas Matematika Volume 7, No. 3

Felix, R.P., (1984) Introduction to calculus
National Book Store, Inc., Manila

Felix, R.P., Cejalvo, F., (1984 ) The Subgroups of finite index of a free abelian group of rank
Matemyas Matematika Volume 8, No. 3

Felix, R.P., (1985 ) Rectangular square, and hexagonal lattices on the plane
Matimyas Matematika Volume 9, No. 2

Felix, R.P., (1986) Sublattices of orthogonal lattices
Natural and Applied Science Bulletin Volume 38, No. 4

Felix, R.P., Cejalco, F., Fernandez, A., Mallari, K.P., Trance, A., (1986 ) Normal subgroups of finite index in the two dimensional crystallographic groups
Research Report

Felix, R.P., Cejalvo, F., Fernandez, A., Mallari, K.P., Trance, A., (1987 ) Finite quotient groups of the plane crystallographic groups
Reserach Report

Papers Presented:

  • Characteristic Vectors and Roots, Mathematical Techniques in Economics and Management Science UP Diliman, Quezon City
  • Introduction to Groups, Philippine Normal College, Manila
  • On Research, UP Mathematics Department Workshop at DAP, Tagaytay
  • On the Subgroups of a Finite Abelian Group, Joint Symposium of the Division of Mathematical Sciences Physics and Earth Sciences, National Resaerch Council of the Philippines DAP, Tagaytay
  • Ring of Endomomorphisms of a Finite Abelian Group, Mathematical Society of the Philippines Seminar Series at SEC, UP
  • Illustrating Group Theory Ideas by Means of Rubik's Cube, Mathematical Society of the Philippines Tenth Anniversary Conference at San Beda College, Manila
  • Infinite Series, University of Northern Philippines Vigan, Ilocos Sur
  • Building Groups from Automorphisms of a Group , UP Science Week, Faculty Center UP Diliman, Quezon City
  • Careers in Mathematics , Career Convocation 1883, Philippine Science High School
  • Career Talk in Mathematics, University of Santo Tomas, Manila
  • Insights into the Life of an Academician, University of Santo Tomas, Manila
  • Career Talk in Mathematics, Career Sharing of NSTA Alumni Scholars San Miguel Auditorium, Makati
  • The Other Side of Mathematics, Mariano Marcos State University Batac, Ilocos Norte
  • Realizing the Filipino Potential in the Mainstream of Mathematics, Symposium of the National Research Council of the Philippines UP Alumni Hostel, Quezon City
  • Mathematics: Role and Status in National Development, Science and Society Forum College of Science UP Diliman, Quezon City
  • The Space Groups of a Diamond , Dept. of Mathematics Faculty Center UP Diliman, Quezon City
  • Normal Subgroups of Finite Index in the Two Dimensiona1 Crystallographic Groups , Australian National University, Canberra, Australia
  • An Alternative Way of Describing all Finite Groups Generated by Elements a and b whose squares are equal, NRCP Colloquium, Ateneo University
  • The Finite Quotient Groups of the Plane Crystallographic Groups, Sophia University, Tokyo, Japan
  • The Finite Quotient Groups of the Plane Crystallographic Group, Professorial Chair Lecture NSRI Lecture Room UP Diliman, Quezon City
  • The Crystallographic Groups, Institute of Mathematical Sciences and Physics UPLB College, Laguna
  • The Normal Subgroups of the Plane Crystallographic Groups Isomorphic to Z x Z, Kyoto University, Japan