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most citedDetermination of the multiplicative nilpotency of self-homotopy sets

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math.AT2009★ 1 cited

Determination of the multiplicative nilpotency of self-homotopy sets

Ken-ichi Maruyama

The semigroup of the homotopy classes of the self-homotopy maps of a finite complex which induce the trivial homomorphism on homotopy groups is nilpotent. We determine the nilpoten…

math.AT2007

Homotopy groups of the spaces of self-maps of Lie groups

Ken-ichi Maruyama, Hideaki Oshima

We compute the homotopy groups of the spaces of self maps of Lie groups of rank 2, SU(3), Sp(2), and G_2. We use the cell structures of these Lie groups and the standard methods of…

math.AT2002

pi_*-kernels of Lie groups

Ken-ichi Maruyama

We study the group of homotopy classes of self maps of compact Lie groups which induce the trivial homomorphism on homotopy groups. We completely determine the groups for SU(3) and…