Abstract: Felix and Murillo [5] introduced the group AutΩ(X) of self-maps f of X, which sat-isfy Ωf = 1ΩX, and proved that the group is nilpotent with the order of nilpotency bounded by the Lusternik-Schnirelmann category of X. In this paper we construct a spectral sequence converging to the group AutΩ(X) and derive several interesting consequences
Let $X$ be a set with infinite regular cardinality $m$ and let $\mathcal T(X)$ be the semigroup of a...
Suppose that a finite group G admits a Frobenius group of automorphisms FH of coprime order with cyc...
AbstractThis note explores connections between Lusternik–Schnirelmann category, quotient maps and gr...
The set of homotopy classes of self maps of a compact, connected Lie group G is a group by the point...
Let Aut*(X) denote the group of homotopy classes of self-maps of X which induce identity automorphis...
Let Aut*(X) denote the group of homotopy classes of self-maps of X which induce identity automorphis...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
This monograph presents both classical and recent results in the theory of nilpotent groups and prov...
The modern theory of automorphic forms is a response to many different impulses and influences, abov...
AbstractThe set of homotopy classes of self maps of a compact, connected Lie group G is a group by t...
Let $X$ be a set with infinite regular cardinality $m$ and let $\mathcal T(X)$ be the semigroup of a...
It is known that the semigroup Singn of all singular self-maps of Xn = {1,2,. . ., n} has rank n(n -...
In this paper, we consider the group Aut(Q,≤) of order-automorphisms of the rational numbers, provin...
AbstractIn this present paper, the author, on the basis of Su's article (Math. Mag. 8 (1988), 7–9), ...
AbstractWe study nilpotent subgroups of automorphism groups in the category of groups and the homoto...
Let $X$ be a set with infinite regular cardinality $m$ and let $\mathcal T(X)$ be the semigroup of a...
Suppose that a finite group G admits a Frobenius group of automorphisms FH of coprime order with cyc...
AbstractThis note explores connections between Lusternik–Schnirelmann category, quotient maps and gr...
The set of homotopy classes of self maps of a compact, connected Lie group G is a group by the point...
Let Aut*(X) denote the group of homotopy classes of self-maps of X which induce identity automorphis...
Let Aut*(X) denote the group of homotopy classes of self-maps of X which induce identity automorphis...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
This monograph presents both classical and recent results in the theory of nilpotent groups and prov...
The modern theory of automorphic forms is a response to many different impulses and influences, abov...
AbstractThe set of homotopy classes of self maps of a compact, connected Lie group G is a group by t...
Let $X$ be a set with infinite regular cardinality $m$ and let $\mathcal T(X)$ be the semigroup of a...
It is known that the semigroup Singn of all singular self-maps of Xn = {1,2,. . ., n} has rank n(n -...
In this paper, we consider the group Aut(Q,≤) of order-automorphisms of the rational numbers, provin...
AbstractIn this present paper, the author, on the basis of Su's article (Math. Mag. 8 (1988), 7–9), ...
AbstractWe study nilpotent subgroups of automorphism groups in the category of groups and the homoto...
Let $X$ be a set with infinite regular cardinality $m$ and let $\mathcal T(X)$ be the semigroup of a...
Suppose that a finite group G admits a Frobenius group of automorphisms FH of coprime order with cyc...
AbstractThis note explores connections between Lusternik–Schnirelmann category, quotient maps and gr...