AbstractThe p-primary v1-periodic homotopy groups of a topological space X, denoted by v1−1π∗(X)(p), are roughly the parts of the homotopy groups of X localized at a prime p which are detected by K-theory. We will use combinatorial number theory to determine, for p an odd prime, the values of n for which v1−1π2(n−1)(SU(n))(p)≅Z/pn−1+νp(⌊np⌋!). As a corollary, we obtain new bounds for the p-exponent of π∗(SU(n))
. In this paper we compute the 3-primary v1 -periodic homotopy groups of the exceptional Lie group E...
of a space X were dened in [8]. Roughly speaking, they tell the portion of the p-local homotopy grou...
AbstractLet p be a prime, G a finite p-group, r the rank of G and e the exponent of G. In this short...
Abstract. We use methods of combinatorial number theory to prove that, for each n ≥ 2 and any prime ...
AbstractThe v1-periodic homotopy groups can be roughly described as the portions of the actual homot...
We note that a recent result of the second author yields upper bounds for odd-primary homotopy expon...
In this paper we calculate the 2-primary v1-periodic homotopy groups of the sym-plectic groups Sp(n)...
AbstractWe use methods of combinatorial number theory to prove that, for each n≥2 and any prime p, s...
AbstractWe determine precisely the largest v1-periodic homotopy groups of SU(2e) and SU(2e+1). This ...
Let p be prime. We prove that, for n odd, the p-torsion part of πq(Sn) has cardinality at most and ...
AbstractLet X be an m-connected CW-complex and n an integer satisfying 2⩽n⩽2m. We prove that if the ...
The p-primary v1-periodic homotopy groups of a space X, denoted v −1 1 (X; p) or just v−11 (X), were...
Abstract. Let i 2 n+8i−1(Sn) denote an element which sus-pends to a generator of the image of the st...
We determine homotopy nilpotency of the p-localized SU(n) when p is a quasi-regular prime in the sen...
AbstractWe obtain new bounds for the exponent of the Schur multiplier of a given p-group. We prove t...
. In this paper we compute the 3-primary v1 -periodic homotopy groups of the exceptional Lie group E...
of a space X were dened in [8]. Roughly speaking, they tell the portion of the p-local homotopy grou...
AbstractLet p be a prime, G a finite p-group, r the rank of G and e the exponent of G. In this short...
Abstract. We use methods of combinatorial number theory to prove that, for each n ≥ 2 and any prime ...
AbstractThe v1-periodic homotopy groups can be roughly described as the portions of the actual homot...
We note that a recent result of the second author yields upper bounds for odd-primary homotopy expon...
In this paper we calculate the 2-primary v1-periodic homotopy groups of the sym-plectic groups Sp(n)...
AbstractWe use methods of combinatorial number theory to prove that, for each n≥2 and any prime p, s...
AbstractWe determine precisely the largest v1-periodic homotopy groups of SU(2e) and SU(2e+1). This ...
Let p be prime. We prove that, for n odd, the p-torsion part of πq(Sn) has cardinality at most and ...
AbstractLet X be an m-connected CW-complex and n an integer satisfying 2⩽n⩽2m. We prove that if the ...
The p-primary v1-periodic homotopy groups of a space X, denoted v −1 1 (X; p) or just v−11 (X), were...
Abstract. Let i 2 n+8i−1(Sn) denote an element which sus-pends to a generator of the image of the st...
We determine homotopy nilpotency of the p-localized SU(n) when p is a quasi-regular prime in the sen...
AbstractWe obtain new bounds for the exponent of the Schur multiplier of a given p-group. We prove t...
. In this paper we compute the 3-primary v1 -periodic homotopy groups of the exceptional Lie group E...
of a space X were dened in [8]. Roughly speaking, they tell the portion of the p-local homotopy grou...
AbstractLet p be a prime, G a finite p-group, r the rank of G and e the exponent of G. In this short...
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