Results 11 to 20 of about 2,707,349 (158)

$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]

open access: yes, 2010
Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Mazza, Nadia, Glauberman, George
core   +5 more sources

Connected components of the category of elementary abelian $p$-subgroups. [PDF]

open access: yes, 2008
We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank $2$ in a finite $p$-group $G$, for an odd prime $p$. Namely, it is $p$ if $G$ has rank at least $3$ and it is $p+1$ if $G$ has rank $2$.
Mazza, Nadia
core   +5 more sources

Calabi–Yau threefolds and moduli of abelian surfaces I [PDF]

open access: yes, 2001
We describe birational models and decide the rationality/unirationality of moduli spaces $\cal A$d (and $\cal A$levd) of (1, d)-polarized Abelian surfaces (with canonical level structure, respectively) for small values of d.
Sorin Popescu   +3 more
core   +1 more source

The moduli space of (111)-polarized abelian surfaces is unirational [PDF]

open access: yes, 2001
We prove that the moduli space $\cal A$11lev of (1,11)-polarized Abelian surfaces with level structure of canonical type is birational to Klein's cubic hypersurface in P4.
Sorin Popescu   +3 more
core   +1 more source

Abelian networks IV. Dynamics of nonhalting networks [PDF]

open access: yes, 2020
An abelian network is a collection of communicating automata whose state transitions and message passing each satisfy a local commutativity condition.
Levine, Lionel, Chan, Swee Hong
core   +1 more source

Abelian functions associated with a cyclic tetragonal curve of genus six [PDF]

open access: yes, 2009
We develop the theory of Abelian functions defined using a tetragonal curve of genus six, discussing in detail the cyclic curve y^4 = x^5 + λ[4]x^4 + λ[3]x^3 + λ[2]x^2 + λ[1]x + λ[0].
Eilbeck, J. C.   +2 more
core   +1 more source

On shortest crucial words avoiding abelian powers [PDF]

open access: yes, 2010
Let k ≥ 2 be an integer. An abeliank th power is a word of the form X1 X2 ⋯ Xk where Xi is a permutation of X1 for 2 ≤ i ≤ k. A word W is said to be crucial with respect to abelian kth powers if W avoids abelian kth powers, but W x ends with an abelian ...
Sergey Kitaev   +12 more
core   +2 more sources

Topological defect networks for fractons of all types

open access: yesPhysical Review Research, 2020
Fracton phases exhibit striking behavior which appears to render them beyond the standard topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter.
David Aasen   +4 more
doaj   +1 more source

On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]

open access: yes, 2005
Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
core   +1 more source

Decorated tensor network renormalization for lattice gauge theories and spin foam models

open access: yesNew Journal of Physics, 2016
Tensor network techniques have proved to be powerful tools that can be employed to explore the large scale dynamics of lattice systems. Nonetheless, the redundancy of degrees of freedom in lattice gauge theories (and related models) poses a challenge for
Bianca Dittrich   +2 more
doaj   +1 more source

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