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FINITE TRIFACTORISED GROUPS AND
$\unicode[STIX]{x1D70B}$-DECOMPOSABILITY
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 97 / Issue 2 / April 2018
- Published online by Cambridge University Press:
- 31 January 2018, pp. 218-228
- Print publication:
- April 2018
-
- Article
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- You have access
- Export citation
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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 
$\unicode[STIX]{x1D70B}$.
