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Dr. Brendan McCann

Title:

Lecturer in Mathematics

School/ Department:

School of Science & Computing - Dept Computing & Mathematics

Telephone:

+353 0 51302625

Room Name/ Num:

Room 313 1969 - Main Building

Campus:

Main Campus

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My Biography

Brendan McCann is a Lecturer in Mathematics at Waterford Institute of Technology.

Research

My research activity has been largely confined to the areas of minimal Fitting Classes of finite soluble groups and products of finite nilpotent groups. More recently, I have been involved in some joint work on embeddings of finite groups of small order.

Publications

  1. Examples of minimal Fitting classes of finite groups, Arch.Math. Vol. 49 (1987), 179-186.
  2. A Fitting class constuction, Annali di Mat. Vol. 157 (1990) , 27-61.
  3. Examples of normal products of finite groups and an application to Fitting classes, Proc. 2nd Int. Conf., Bressanone/Italy 1989, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 23 (1990), 237-252 .
  4. Fitting classes based on groups of nilpotent length three with operator-isomorphic minimal normal subgroups, J. Aust. Math. Soc. Ser. A, Vol. 51 (1991), 448-467.
  5. On minimal Fitting classes of periodic, infinite groups, J. Aust. Math. Soc. Ser A, Vol. 54 (1993), 304-320.
  6. A note on the derived length of products of certain p-groups, Proc. R. Ir. Acad., Vol. 93A (1993), 185-187.
  7. On the derived length of certain factorised groups, Ricerche di Mat. Vol. 45 (1996), 291-301.
  8. On p-groups which are the product of a finite extra-special group and a nilpotent group of class two, J. Group Theory, Vol. 2 (1999), 301-305.
  9. On finite p-groups that are the product of a subgroup of class two and an abelian subgroup of order p^3, Rend. Sem. Mat. Univ. Padova, Vol. 136 (2016), 1-10.
  10. On products of cyclic and elementary abelian p-groups, Publ. Math. Debrecen, 91/1-2 (2017), 185-216.
  11. R. Heffernan, D. MacHale and B. McCann, Cayley’s Theorem Revisited: Embeddings of Small Finite Groups, Math. Mag. Vol. 91, No. 2 (2018), 103-111.
  12. On products of cyclic and abelian finite p-groups (p odd), Proc. Japan Acad., 94, Ser.A (2018), 77-80.
  13. R.Heffernan and B. McCann, Minimal embeddings of small finite groups, Int. J. Group Theory, (to appear).