Geodesic
OPTIMAL LINE PACKINGS FROM FINITE GROUP ACTIONS
Forum of Mathematics, Sigma, Tome 8 (2020)

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We provide a general program for finding nice arrangements of points inreal or complex projective space from transitive actions of finite groups. In many cases, these arrangements are optimal in the sense of maximizing the minimum distance. We introduce our program in terms of general Schurian association schemes before focusing on the special case of Gelfand pairs. Notably, our program unifies a variety of existing packings with heretofore disparate constructions. In addition, we leverage our program to construct the first known infinite family of equiangular lines with Heisenberg symmetry. 
@article{10_1017_fms_2019_48,
     author = {JOSEPH W. IVERSON and JOHN JASPER and DUSTIN G. MIXON},
     title = {OPTIMAL {LINE} {PACKINGS} {FROM} {FINITE} {GROUP} {ACTIONS}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {8},
     year = {2020},
     doi = {10.1017/fms.2019.48},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.48/}
}
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JOSEPH W. IVERSON; JOHN JASPER; DUSTIN G. MIXON. OPTIMAL LINE PACKINGS FROM FINITE GROUP ACTIONS. Forum of Mathematics, Sigma, Tome 8 (2020). doi: 10.1017/fms.2019.48

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