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2 results

  • FINITE TRIFACTORISED GROUPS AND $\unicode[STIX]{x1D70B}$-DECOMPOSABILITY

  • Part of
  • L. S. KAZARIN, A. MARTÍNEZ-PASTOR, M. D. PÉREZ-RAMOS
  • 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
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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 $\unicode[STIX]{x1D70B}$.

  • FACTORIZATION NUMBERS OF SOME FINITE GROUPS

  • F. SAEEDI, M. FARROKHI D. G.
  • Journal:
    Glasgow Mathematical Journal / Volume 54 / Issue 2 / May 2012
    Published online by Cambridge University Press:
    12 December 2011, pp. 345-354
    Print publication:
    May 2012
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  • For a finite group G, let F2(G) be the number of factorizations G = AB of the group G, where A and B are subgroups of G. We compute F2(G) for certain classes of groups, including cyclic groups ℤn, elementary abelian p-groups ℤpn, dihedral groups D2n, generalised quaternion groups Q4n, quasi-dihedral 2-groups QD2n(n≥4), modular p-groups Mpn, projective general linear groups PGL(2, pn) and projective special linear groups PSL(2, pn).