Hence, the holomorph of a quasigroup(loop) is an AIPQ(AIPL) or CIPQ(CIPL) if and only if its automorphism
group is trivial and the quasigroup(loop) is a AIPQ(AIPL) or CIPQ(CIPL).
This report concentrates on the automorphism
group of a map, which is related to the automorphism
groups of a Klein surface and a Smarandache manifold, also applied to the enumeration of unrooted maps on orientable and non-orientable surfaces.
t]V is a topological automorphism
of D(R) satisfying the intertwining relation
Second right Smarandache automorphism
(S2"d right automorphism
) of GH if and only if A G S2ndRPAUT(GH) such that c = e.
If [sigma] is an automorphism
of R let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where [[sigma].
Moreover, to resist the image statistics attack, we then scramble the processed blocks of the secret image by the torus automorphism
 with a secret key [SK.
A partial automorphism
of A is a triple ([alpha], I, J) where I and J are closed two-sided ideals in A and
Because of automorphism
of iconicity, it is quite plausible that there are many polysemous words.
There are 31 non-isomorphic (11,3) configurations and this puzzle is the first found of type (n,3) whose automorphism
group is trivial.
Extending the non-trivial symmetry of the infinite cyclic group to an automorphism
of a knot group ties us to the intimate geosyntax of the knot".
He has authored more than sixty published journal articles on infinite group theory, formation theory and Fitting classes, wreath products, and automorphism
This is because there are examples of smooth surfaces of general type with nonreduced automorphism