class groups
Ideal class groups, Hilbert’s irreducibility theorem, and integral points of bounded degree on curves
... Abstract. We study the problem of constructing and enumer- ating, for any integers m, n > 1, number fields of degree n whose ideal class groups have “large" m-rank. Our technique relies funda- ...
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Distortion and Tits alternative in smooth mapping class groups
... mapping class groups and was suggested by Calegari (see [3] and ...mapping class group of K in S) the subgroup of the mapping class group M ∞ (S, K) consisting of the ele- ments which fix K ...
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The distribution of second $p$-class groups on coclass graphs
... p-class groups G 2 p (K) of certain base fields K can be calculated explicitly from a purely group theoretic probability measure by non-abelian generaliza- tions of the Cohen-Lenstra-Martinet asymptotic, as ...
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$\ell $-torsion in class groups of certain families of $D_4$-quartic fields
... 1. Introduction In this paper we prove the first unconditional nontrivial upper bound on `-torsion, for all positive integers ` ≥ 1, in class groups of certain D 4 - quartic fields. In particular, this ...
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On the computation of quadratic $2$-class groups
... On the computation of quadratic 2-class groups par WIEB BOSMA ET PETER STEVENHAGEN RÉSUMÉ. Nous décrivons un algorithme dû à Gauss, Shanks et Lagarias qui étant donné un entier D ~ 0,1 mod 4 non carré et ...
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A characterization of class groups via sets of lengths II
... A characterization of class groups via sets of lengths II Tome 29, n o 2 (2017), p. 327-346. <http://jtnb.cedram.org/item?id=JTNB_2017__29_2_327_0> © Société Arithmétique de Bordeaux, 2017, tous ...
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Erratum “On the computation of quadratic $2$-class groups”
... have been introduced in the galley-proof file of the paper "On the computa- tion of quadratic 2-class groups" by W. Bosma and P. Stevenhagen, which appears on pages 283-313. This has lead to an ...
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Hilbert symbols, class groups and quaternion algebras
... We now describe our geometric motivation for the main problem posed in § 1. In [CF2] we studied torsion in maximal arithmetic Kleinian groups r and found that computing dihedral subgroups of r is closely connected ...
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Orderable 3-manifold groups
... the groups which arise naturally in topology are ...braid groups [De]; see also [FGRRW] and ...mapping class groups of all Riemann surfaces with nonempty boundary (and possibly with punctures) ...
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Computing Néron–Severi groups and cycle class groups
... COMPUTING N´ ERON–SEVERI GROUPS AND CYCLE CLASS GROUPS BJORN POONEN, DAMIANO TESTA, AND RONALD VAN LUIJK Abstract. Assuming the Tate conjecture and the computability of ´ etale cohomology with ...
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Class invariants and cyclotomic unit groups from special values of modular units
... obtain class invariants and cyclo- tomic unit groups by considering specializations of modular ...unit groups and their associated cus- pidal divisor class groups are also ...
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Invariant Smoothing on Lie Groups
... Smoothing on manifolds is well established, and a thor- ough study of a Gauss-Newton algorithm on Riemannian manifolds can be found in [1]. In the SLAM community, a lot of work has been dedicated to studying the non- ...
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Binding groups, permutation groups and modules of finite Morley rank
... transitive groups: other special ...n-transitive groups with n sufficiently large, say, n ≥ 5, is also likely to be achievable without the complete classi- fication of groups of odd ...of ...
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THREE CHAPTERS ON CREMONA GROUPS
... [32] A. Lins Neto. Some examples for the Poincaré and Painlevé problems. Ann. Sci. École Norm. Sup. (4), 35(2):231–266, 2002. [33] L. Marquis. Around groups in Hilbert geometry. In Handbook of Hilbert geometry, ...
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Designs, groups and lattices
... de Bordeaux 17 (2005), 25–44 Designs, groups and lattices par Christine BACHOC R´ esum´ e. La notion de designs dans les espaces Grassmanniens a ´ et´ e introduite par l’auteur et R. Coulangeon, G. Nebe dans [3]. ...
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Les focus groups, lieux d'ancrages
... FOCUS GROUPS Nous avons opté pour l’usage du focus group car il est particulièrement adapté aux recherches qui essayent de montrer comment et combien le rôle de certains facteurs tels que le genre, l’appartenance ...
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Complexes of groups and geometric small cancellation over graphs of groups
... of groups is developable. 3. Trees of complexes of groups This section presents the main algebraic construction of this ...of groups G(Y i ) over Y i , we explain how one can glue them together to ...
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A class-D-tracking-rail class-A audio power amplifier
... Class-D amplifiers, known for their high power efficiency (greater than 85%) but high signal distortion, provide a signal output that will serve as the supply volt[r] ...
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Polynomials whose Galois groups are Frobenius groups with prime order complement
... n, which are Frobenius. In Section III, we point out some effective conditions which are useful in testing whether a polynomial has Galois group as above or not; such conditions involve the computation of several ...
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Participatory Videoconferencing for Groups
... Proceedings of the IEEE International Symposium on Technology and Society (ISTAS 08), June 26-28, 2008, Fredericton, New Brunswick, Canada, 2008.. READ THESE TERMS AND CONDITIONS CAREFU[r] ...
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