127 citations · 375 across the 44 of their papers we have counts for
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Two groups 2^3.PSL_2(7) and 2^3:PSL_2(7) of order 1344
Mehmet Koca, Ramazan Koc, Nazife Ozdes Koca
We analyze the group structures of two groups of order 1344 which are respectively non-split and split extensions of the elementary Abelian group of order 8 by its automorphism gro…
SU(5) Grand Unified Theory, its Polytopes and 5-fold Symmetric Aperiodic Tiling
Mehmet Koca, Nazife Ozdes Koca, Abeer Al Siyabi
We associate the lepton-quark families with the vertices of the 4D polytopes 5-cell and the rectified 5-cell derived from the SU(5) Coxeter-Dynkin diagram. The off-diagonal gauge b…
4D Pyritohedral Symmetry with Quaternions, Related Polytopes and Lattices
Mehmet Koca, Nazife Ozdes Koca, Amal Juma Hamood Al-Qanobi
We describe extension of the pyritohedral symmetry to 4-dimensional Euclidean space and present the group elements in terms of quaternions. It turns out that it is a maximal subgro…