Groups with a context-free co-word problem (2005)
Holt, D.F., Rees, Sarah, Röver, Claas E., Thomas, Richard M.
Isoperimetric inequalities for nilpotent groups (2002)
Gersten, S. M., Holt, D. F., Riley, T. R.
We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c+1 and a linear upper bound on its filling length function.
Certain cyclically presented groups are infinite (2001)
Havas, G., Holt, D. F., Newman, M. F.
We prove that the groups in two infinite families considered by Johnson, Kim and O'Brien are almost all infinite.
Certain cyclically presented groups are infinite (2001)
Havas, G., Holt, D. F., Newman, M. F.
We prove that the groups in two infinite families considered by Johnson, Kim and O'Brien are almost all infinite.
Some challenging group presentations (1999)
Havas, G., Holt, D. F., Kenne, P. E., Rees, S.
We study some challenging presentations which arise as groups of deficiency zero. In four cases we settle finiteness: we show that two presentations are for finite groups while two are fur infinite...
Some challenging group presentations (1999)
Havas, G., Holt, D. F., Kenne, P. E., Rees, S.
We study some challenging presentations which arise as groups of deficiency zero. In four cases we settle finiteness: we show that two presentations are for finite groups while two are fur infinite...
A cohomological criterion for a finitely presented group to be infinite (1992)
The problem of proving that a given finitely presented group G is infinite can be very difficult (or impossible) in general, but there are several possible approaches that can be tried, some of which...
ON THE SECOND COHOMOLOGY GROUP OF A FINITE GROUP (1986)
Throughout this paper, all groups and modules should be assumed to be finite, p will be a fixed prime, and F will denote the finite field of order p. The purpose is to prove the following theorem....