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2-Sylow 3-cycles 3-fold basis admits a semi-symmetric affine connection algebraic number ARMEANU Banach basis number cahsmada called commutativity comp-max property compact cone constant convergent convex convex functions Corollary curvature tensor D-lines defined Definition denote Department of Mathematics differential equation edge elementary abelian elements exists finite group following theorem function fuzzy graph Hence independent set inequality Istanbul Lemma Let G linear connection linear subspace Math matrix mean curvature metric connection nonempty normal obtain operator ordinal Ozet p-adic P-Sasakian manifold parallel mean curvature polynomial positive integers Proof Proposition prove Q-group quaternion group recurrent respect result Ricci tensor Riemannian manifold Riemannian manifold admits ring satisfies semi-symmetric metric connection semi-symmetric non-metric connection sequence spaces set of cycles solution Springer-Verlag stochastic subgroup of G sufficient condition summable Suppose surfaces Sylow 2-subgroup symmetric torsion tensor vector field