Results 91 to 100 of about 3,179 (217)
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
wiley +1 more source
Groups with restricted conjugacy classes
Let \(\text{FC}^0\) be the class of all finite groups, and for each non-negative integer \(n\) let the class \(\text{FC}^{n+1}\) be defined by induction as the class of all groups \(G\) such that for every element \(x\in G\) the factor group \(G/C_G(\langle x\rangle^G)\) is in \(\text{FC}^n\). The \(\text{FC}^1\)-groups are precisely groups with finite
de Giovanni F., Russo A., Vincenzi G.
openaire +5 more sources
On the finite generation of ideals in tensor triangular geometry
Abstract Inspired by Cohen's characterization of Noetherian commutative rings, we study the finite generation of ideals in tensor triangular geometry. In particular, for an essentially small tensor triangulated category K$\mathcal {K}$ with weakly Noetherian spectrum, we show that every prime ideal in K$\mathcal {K}$ can be generated by finitely many ...
Tobias Barthel
wiley +1 more source
Orbit decidability and the conjugacy problem for some extensions of groups
Given a short exact sequence of groups with certain conditions, 1 ? F ? G ? H ? 1, weprove that G has solvable conjugacy problem if and only if the corresponding action subgroupA 6 Aut(F) is orbit decidable.
Ventura, Enric +2 more
core
Combinatorics of conjugacy classes in U_n(F_q) [PDF]
A classical conjecture of Graham Higman states that the number of conjugacy classes in U_n(q), the group of upper triangular (nxn)-matrices over F_q, is a polynomial function of q, for all n.
Soffer, Andrew
core
On critical exponents for self-similar collapse
We explore systematically perturbations of self-similar solutions to the Einstein-axion-dilaton system, whose dynamics are invariant under spacetime dilations combined with internal 𝔰𝔩(2, ℝ) transformations.
Riccardo Antonelli, Ehsan Hatefi
doaj +1 more source
Wild conductor exponents of curves
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley +1 more source
ON CONJUGACY CLASSES IN LINEAR GROUPS
Let \(G = GL(n,K)\) or \(SL(n,K)\), \(K\) any field (finite or infinite). The author proves that \(| C| > | Z(G)|\) for any non-central conjugacy class \(C\) in \(G\). Combining this with an older result [ibid. 22, 677-693 (1989; Zbl 0696.20040)] the author concludes that \(SL(n,K) = C_ 1C_ 2C\) if \(C\) is any noncentral conjugacy class and \(C_ 1\), \
openaire +2 more sources
On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms
We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2) triangles, are conjugacy separable. In particular, this applies to all right-angled Coxeter groups or word hyperbolic even Coxeter groups. For an arbitrary Coxeter group W, we
Caprace, Pierre-Emmanuel +1 more
core
Groups with conjugacy classes of coprime sizes
Suppose that x, y are elements of a finite group G lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩ ∩ ⟨yG⟩ is an abelian normal subgroup of G and, as a consequence, that if x and y are π‐regular elements for some set of primes π, then xG ...
Parker, C. +8 more
core +4 more sources

