Timeline for Maximal size of minimal generating set
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 29, 2015 at 2:00 | comment | added | M. Farrokhi D. G. | In the second paper, lower and upper bounds are given for the quantity $\mu(L)$ when $L$ is a monolithic group. | |
| Dec 29, 2015 at 1:59 | comment | added | M. Farrokhi D. G. | For solvable groups $m(G)$ (the notation used in these and other papers for $D(G)$) is simply the number of non-Frattini factors in a chief series of $G$. For an arbitrary group $m(G)=\sum_A\mu(L_G(A))$, where $A$ ranges over non-Frattini factors in a chief series of $G$. Here $L_G(A)$ is the monolithic primitive group associated with $A$ defined as $L_G(A)=A\rtimes G/C_G(A)$ if $A$ is abelian and $L_G(A)=G/C_G(A)$ if $A$ is non-abelian. Also, for a monolithic group $L$ with the socle $N$, $\mu(L)$ is defined as $\mu(L):=m(L)-m(L/N)$. | |
| Dec 28, 2015 at 8:39 | comment | added | Geoff Robinson | These don't seem to be available of Open Access, and the abstracts don't seem to describe the results in detail. Is the outcome an algorithm for determining $D(G)$, or is there an explicit general formula? | |
| Dec 24, 2015 at 2:11 | vote | accept | Yiftach Barnea | ||
| Dec 24, 2015 at 0:56 | history | answered | M. Farrokhi D. G. | CC BY-SA 3.0 |