Volume 20, No 4, 2013, P. 8897
UDC 519.174
Perezhogin A. L.
Simple cycles in the ncube with a large group of automorphisms
Abstract:
The cycle automorphism in the ncube is the automorphism of the cube that leaves the cycle in place and does not change its orientation. An upper bound for the order of the group of cycle automorphisms in the ncube is found. We obtain the construction for building long simple cycles for which the order of the group reaches the upper bound.
Bibliogr. 3.
Keywords: ncube, cycle, automorphism, orbit, lattice.
Perezhogin Alexey Lvovich ^{1,2}
1. S. L. Sobolev Institute of Mathematics, SB RAS,
4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
2.
Novosibirsk State University,
2 Pirogov St., 630090 Novosibirsk, Russia
email: pereal@math.nsc.ru
