Results 101 to 110 of about 441 (146)

Quantum gravity: are we there yet? [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci
Majid S.
europepmc   +1 more source

Subgroup commutativity degrees of finite groups

open access: yesJournal of Algebra, 2009
Let \(G\) be a finite group and let \(L(G)\) be the set of subgroups of \(G\). The author defines the subgroup commutativity degree of \(G\) by \(\text{sd}(G)=|L(G)|^{-2}|\{(H,K)\in L(G)^2\mid HK=KH\}|\). Clearly, \(\text{sd}(G)\) is the probability that two subgroups of \(G\) permute. The author states some simple general properties of \(\text{sd}(G)\)
Marius Tarnauceanu
exaly   +2 more sources

Finite Groups with Five Relative Commutativity Degrees

open access: yesResults in Mathematics, 2022
We classify all finite groups with five relative commutativity degrees. Also, we give a partial answer to our previous conjecture on a lower bound of the number of relative commutativity degrees of finite groups.
exaly   +3 more sources

Subgroup S-commutativity degrees of finite groups

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 2012
The so--called subgroup commutativity degree $sd(G)$ of a finite group $G$ is the number of permuting subgroups $(H,K) \in \mathrm{L}(G) \times \mathrm{L}(G)$, where $\mathrm{L}(G)$ is the subgroup lattice of $G$, divided by $|\mathrm{L}(G)|^2$. It allows us to measure how $G$ is far from the celebrated classification of quasihamiltonian groups of K ...
Francesco G Russo
exaly   +6 more sources

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