Informational power of the Hoggar symmetric informationally complete positive operator-valued measure
A Szymusiak, W Słomczyński - Physical Review A, 2016 - APS
We compute the informational power for the Hoggar symmetric informationally complete
positive operator-valued measure (SIC-POVM) in dimension eight, ie, the classical capacity …
positive operator-valued measure (SIC-POVM) in dimension eight, ie, the classical capacity …
Cohomology of moduli spaces of Del Pezzo surfaces
O Bergvall, F Gounelas - Mathematische Nachrichten, 2023 - Wiley Online Library
We compute the rational Betti cohomology groups of the coarse moduli spaces of
geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl …
geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl …
On 2-maximal subgroups of finite groups
MN Konovalova, VS Monakhov… - Communications in …, 2022 - Taylor & Francis
We distinguish 2-maximal and strictly 2-maximal subgroups of a finite group and give
examples of soluble and simple groups in which every 2-maximal subgroup is strictly 2 …
examples of soluble and simple groups in which every 2-maximal subgroup is strictly 2 …
Combinatorial categories and permutation groups
GA Jones - arXiv preprint arXiv:1309.6119, 2013 - arxiv.org
The regular objects in various categories, such as maps, hypermaps or covering spaces,
can be identified with the normal subgroups N of a given group\Gamma, with quotient group …
can be identified with the normal subgroups N of a given group\Gamma, with quotient group …
The M\" obius function of the small Ree groups
E Pierro - arXiv preprint arXiv:1410.8702, 2014 - arxiv.org
The M\" obius function for a group, $ G $, was introduced in 1936 by Hall in order to count
ordered generating sets of $ G $. In this paper we determine the M\" obius function of the …
ordered generating sets of $ G $. In this paper we determine the M\" obius function of the …
[PDF][PDF] Algorithmic enumeration of regular maps.
T Connor, D Leemans - Ars Math. Contemp., 2016 - scholar.archive.org
Given a finite group G, we describe an algorithm that enumerates the regular maps having G
as rotational subgroup, using the knowledge of its table of ordinary characters and its …
as rotational subgroup, using the knowledge of its table of ordinary characters and its …
On groups with the same character degrees as almost simple groups with socle Mathieu groups
SH Alavi, A Daneshkah, A Jafari - Rendiconti del Seminario …, 2017 - numdam.org
Let G be a nite group, and let Irr. G/be the set of all complex irreducible character degrees of
G. Denote by cd. G/the set of character degrees of G, that is to say, cd. G/D ¹. 1/j 2 Irr. G/º. It is …
G. Denote by cd. G/the set of character degrees of G, that is to say, cd. G/D ¹. 1/j 2 Irr. G/º. It is …
Fischer‐Clifford Matrices and Character Table of the Maximal Subgroup (29 : (L3(4)) : 2 of U6(2) : 2
AL Prins, RL Monaledi - International Journal of Mathematics …, 2019 - Wiley Online Library
The automorphism group U6 (2): 2 of the unitary group U6 (2)≅ Fi21 has a maximal
subgroup G¯ of the form (29:(L3 (4)): 2 of order 20643840. In this paper, Fischer‐Clifford …
subgroup G¯ of the form (29:(L3 (4)): 2 of order 20643840. In this paper, Fischer‐Clifford …
Permutability degrees of finite groups
DE Otera, FG Russo - Filomat, 2016 - JSTOR
Given a finite group 𝐺, we introduce the permutability degree of 𝐺, as pd (G)= 1| G|| 𝓛 (G)|∑
X∈ 𝓛 (G)| PG (X)|, where 𝓛 (𝐺) is the subgroup lattice of 𝐺 and 𝑃𝐺 (𝑋) the permutizer of the …
X∈ 𝓛 (G)| PG (X)|, where 𝓛 (𝐺) is the subgroup lattice of 𝐺 and 𝑃𝐺 (𝑋) the permutizer of the …
Algebraic realization for simple groups
KH Dovermann, V Giambalvo - European Journal of Mathematics, 2022 - Springer
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