6533b856fe1ef96bd12b1e4c
RESEARCH PRODUCT
FINITE TRIFACTORISED GROUPS AND -DECOMPOSABILITY
María Dolores Pérez-ramosA. Martínez-pastorLev Kazarinsubject
Finite groupPure mathematicsGeneral Mathematics010102 general mathematicsStructure (category theory)Products of subgroupsFinite groups01 natural sciences010101 applied mathematicsSet (abstract data type)IUMPApi-structure0101 mathematicsMATEMATICA APLICADApi-decomposable groupsMathematicsdescription
We derive some structural properties of a trifactorised finite group $G=AB=AC=BC$, where $A$, $B$, and $C$ are subgroups of $G$, provided that $A=A_{\unicode[STIX]{x1D70B}}\times A_{\unicode[STIX]{x1D70B}^{\prime }}$ and $B=B_{\unicode[STIX]{x1D70B}}\times B_{\unicode[STIX]{x1D70B}^{\prime }}$ are $\unicode[STIX]{x1D70B}$-decomposable groups, for a set of primes $\unicode[STIX]{x1D70B}$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-01-31 | Bulletin of the Australian Mathematical Society |