Let n ∈ N. Houghton's group Hn is the group of permutations of {1, . . . , n} × N, that eventually act as a translation in each copy of N. We prove the solvability of the conjugacy problem and conjugator search problem for Hn, n ≥ 2
Put dist(G(·), G(*)) = card{(a, b) εG2; a · b ≠ a * b} for any two groups G(·), G(*) with the same u...
We consider two multi-parameter classes of cyclically presented groups, introduced by Cavicchioli, R...
[EN] For a non-empty class of groups L, a finite group G = AB is said to be an L-connected product o...
Let nEN. Houghton's group Hn is the group of permutations of {1,…,n}×N, that eventually act as a tra...
AbstractWe continue the discussion of the numbers c(G) and r(G) defined in [1]. The following result...
AbstractIn this paper, we examine some properties of suborbital graphs for the Hecke groups Γ, H(2),...
Diaconis and Gamburd computed moments of secular coefficients in the CUE ensemble. We use the charac...
The following characterization is obtained: THEOREM. Let G be a finite group generated by a conj...
AbstractLet H be a finite group having center Z(H) of even order. By the classical Brauer–Fowler the...
AbstractGiven a group G and a set S⊆G of generators, set S−1={s−1|s∈G} and S̃=S∪S−1. For g∈G, let l(...
AbstractGreen [Proc. Roy. Soc. Math A 327 (1956), 574–581] proved that if G is a finite p-group of o...
AbstractLet Gn,p be the Sylow p-subgroup of SL(n,p) formed by the upper unitriangular matrices. The ...
AbstractJ.H. Conway introduced a set of permutations called M13 by a game related to the projective ...
In Chapter two we look at the class F(n) = . For some values of n, a[sub]i , b[sub]i, d[sub]i, x[s...
AbstractLet G be a group of order 4n and t an involution of G. A 2n-subset R of G is called a left H...
Put dist(G(·), G(*)) = card{(a, b) εG2; a · b ≠ a * b} for any two groups G(·), G(*) with the same u...
We consider two multi-parameter classes of cyclically presented groups, introduced by Cavicchioli, R...
[EN] For a non-empty class of groups L, a finite group G = AB is said to be an L-connected product o...
Let nEN. Houghton's group Hn is the group of permutations of {1,…,n}×N, that eventually act as a tra...
AbstractWe continue the discussion of the numbers c(G) and r(G) defined in [1]. The following result...
AbstractIn this paper, we examine some properties of suborbital graphs for the Hecke groups Γ, H(2),...
Diaconis and Gamburd computed moments of secular coefficients in the CUE ensemble. We use the charac...
The following characterization is obtained: THEOREM. Let G be a finite group generated by a conj...
AbstractLet H be a finite group having center Z(H) of even order. By the classical Brauer–Fowler the...
AbstractGiven a group G and a set S⊆G of generators, set S−1={s−1|s∈G} and S̃=S∪S−1. For g∈G, let l(...
AbstractGreen [Proc. Roy. Soc. Math A 327 (1956), 574–581] proved that if G is a finite p-group of o...
AbstractLet Gn,p be the Sylow p-subgroup of SL(n,p) formed by the upper unitriangular matrices. The ...
AbstractJ.H. Conway introduced a set of permutations called M13 by a game related to the projective ...
In Chapter two we look at the class F(n) = . For some values of n, a[sub]i , b[sub]i, d[sub]i, x[s...
AbstractLet G be a group of order 4n and t an involution of G. A 2n-subset R of G is called a left H...
Put dist(G(·), G(*)) = card{(a, b) εG2; a · b ≠ a * b} for any two groups G(·), G(*) with the same u...
We consider two multi-parameter classes of cyclically presented groups, introduced by Cavicchioli, R...
[EN] For a non-empty class of groups L, a finite group G = AB is said to be an L-connected product o...
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