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12,026
FUNDAMENTAL GROUP IN NONZERO CHARACTERISTIC
, 2006
"... Abstract. A proof of freeness of the commutator subgroup of the fundamental group of the affine line over a countable algebraically closed field of nonzero characteristic. A description of the abelianizations of the fundamental groups of affine curves over an algebracially closed field of nonzero ch ..."
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Abstract. A proof of freeness of the commutator subgroup of the fundamental group of the affine line over a countable algebraically closed field of nonzero characteristic. A description of the abelianizations of the fundamental groups of affine curves over an algebracially closed field of nonzero
FUNDAMENTAL GROUP IN NONZERO CHARACTERISTIC
, 2006
"... Abstract. A proof of freeness of the commutator subgroup of the fundamental group of the affine line over a countable algebraically closed field of nonzero characteristic. A description of the abelianizations of the fundamental groups of affine curves over an algebracially closed field of nonzero ch ..."
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Abstract. A proof of freeness of the commutator subgroup of the fundamental group of the affine line over a countable algebraically closed field of nonzero characteristic. A description of the abelianizations of the fundamental groups of affine curves over an algebracially closed field of nonzero
Étale Fundamental Groups and Cohomology
"... 1.1 Projective and separable algebras.................... 7 1.2 Finite étale coverings........................... 20 1.3 Example: Fundamental group of a field................. 24 ..."
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1.1 Projective and separable algebras.................... 7 1.2 Finite étale coverings........................... 20 1.3 Example: Fundamental group of a field................. 24
The fundamental group of the Galois cover . . .
, 2006
"... This paper is the second in a series of papers concerning Hirzebruch surfaces. In the first paper in this series, the fundamental group of Galois covers of Hirzebruch surfaces Fk(a, b), where a, b are relatively prime, was shown to be trivial. For the general case, the conjecture stated there is tha ..."
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Cited by 2 (2 self)
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This paper is the second in a series of papers concerning Hirzebruch surfaces. In the first paper in this series, the fundamental group of Galois covers of Hirzebruch surfaces Fk(a, b), where a, b are relatively prime, was shown to be trivial. For the general case, the conjecture stated
CONNECTED GRADINGS AND FUNDAMENTAL GROUP
, 906
"... The main purpose of this paper is to provide explicit computations of the fundamental group of several algebras. For this purpose, given a kalgebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoretic ..."
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Cited by 6 (5 self)
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The main purpose of this paper is to provide explicit computations of the fundamental group of several algebras. For this purpose, given a kalgebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings
ON THE FUNDAMENTAL GROUPS WITH RESTRICTED RAMIFICATION
"... In this Note I will explain the result of [3] whose subject is the arithmetic fundamental group with restricted ramification. The aim of this article is following:? We define a certain quotient of the étale fundamental group of a scheme which ..."
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In this Note I will explain the result of [3] whose subject is the arithmetic fundamental group with restricted ramification. The aim of this article is following:? We define a certain quotient of the étale fundamental group of a scheme which
ON THE FUNDAMENTAL GROUP OF THE SIERPIŃSKIGASKET
"... Dedicated to Professor Peter Kirschenhofer on the occasion of his 50th birthday Abstract. We give a description of the fundamental group π(△) of the Sierpińskigasket △. It turns out that this group is isomorphic to a certain subgroup of an inverse limit lim Gn formed by the fundamental groups Gn of ..."
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Cited by 5 (1 self)
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Dedicated to Professor Peter Kirschenhofer on the occasion of his 50th birthday Abstract. We give a description of the fundamental group π(△) of the Sierpińskigasket △. It turns out that this group is isomorphic to a certain subgroup of an inverse limit lim Gn formed by the fundamental groups Gn
FUNDAMENTAL GROUPS OF PEANO CONTINUA
, 2009
"... Abstract. Extending a theorem of Shelah we prove that fundamental groups of Peano continua (locally connected and connected metric compact spaces) are finitely presented if they are countable. The proof uses ideas from geometric group theory. ..."
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Abstract. Extending a theorem of Shelah we prove that fundamental groups of Peano continua (locally connected and connected metric compact spaces) are finitely presented if they are countable. The proof uses ideas from geometric group theory.
On the Sfundamental group scheme
, 2009
"... We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results [Si] to positive characteristic. We also study the properties of this group and we prove Lef ..."
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Cited by 9 (2 self)
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We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results [Si] to positive characteristic. We also study the properties of this group and we prove
FILL RADIUS AND THE FUNDAMENTAL GROUP
"... Abstract. In this note we relate the geometric notion of fill radius with the fundamental group of the manifold. We prove: Suppose that a closed Riemannian manifold M satisfies the property that its universal cover has bounded fill radius. Then the fundamental group of M is virtually free. We explai ..."
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Cited by 1 (0 self)
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Abstract. In this note we relate the geometric notion of fill radius with the fundamental group of the manifold. We prove: Suppose that a closed Riemannian manifold M satisfies the property that its universal cover has bounded fill radius. Then the fundamental group of M is virtually free. We
Results 11  20
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12,026