AbstractIn 1955, Hall and Paige conjectured that any finite group with a noncyclic Sylow 2-subgroup admits complete mappings. For the groups GL(2, q), SL(2, q), PSL(2, q), and PGL(2, q) this conjecture has been proved except for SL(2, q), q odd. We prove that SL(2, q), q≡1 modulo 4 admits complete mappings
AbstractIf G is a group, H a subgroup of G, and Ω a transitive G-set we ask under what conditions on...
A theorem of L. J. Paige on complete maps is proved using factorizations of abelian groups. Let G be...
This thesis is mostly concerned with the block theory of finite groups whose 2-sylow subgroups are a...
AbstractIn 1955, Hall and Paige conjectured that any finite group with a noncyclic Sylow 2-subgroup ...
AbstractIn 1955, Hall and Paige conjectured that any finite group with a noncyclic Sylow 2-subgroup ...
AbstractIn 1955, Hall and Paige conjectured that any finite group with a noncyclic Sylow 2-subgroup ...
AbstractA complete mapping of a group G is a permutation ϕ:G→G such that g↦gϕ(g) is also a permutati...
AbstractA complete mapping of a group G is a permutation ϕ:G→G such that g↦gϕ(g) is also a permutati...
AbstractIn 1955 Hall and Paige conjectured that a finite group is admissible, i.e., admits complete ...
AbstractA complete mapping of an algebraic structure (G,+) is a bijection f(x) of G over G such that...
In the course of a recent investigation by the author [1] it was noted that the number of complete m...
A finite group is said to be admissible if it has a permutation mapping of the form g → θ(g) such th...
AbstractLet Gp be a Sylow p-subgroup of the finite group G and let CharnG(Gp) represent the set of d...
AbstractIn this paper we consider groups G which have connected transversals to nonabelian subgroups...
AbstractWe settle a conjecture of Walter Carlip (1994) [2, Conjecture 1.3]. Suppose that G is a fini...
AbstractIf G is a group, H a subgroup of G, and Ω a transitive G-set we ask under what conditions on...
A theorem of L. J. Paige on complete maps is proved using factorizations of abelian groups. Let G be...
This thesis is mostly concerned with the block theory of finite groups whose 2-sylow subgroups are a...
AbstractIn 1955, Hall and Paige conjectured that any finite group with a noncyclic Sylow 2-subgroup ...
AbstractIn 1955, Hall and Paige conjectured that any finite group with a noncyclic Sylow 2-subgroup ...
AbstractIn 1955, Hall and Paige conjectured that any finite group with a noncyclic Sylow 2-subgroup ...
AbstractA complete mapping of a group G is a permutation ϕ:G→G such that g↦gϕ(g) is also a permutati...
AbstractA complete mapping of a group G is a permutation ϕ:G→G such that g↦gϕ(g) is also a permutati...
AbstractIn 1955 Hall and Paige conjectured that a finite group is admissible, i.e., admits complete ...
AbstractA complete mapping of an algebraic structure (G,+) is a bijection f(x) of G over G such that...
In the course of a recent investigation by the author [1] it was noted that the number of complete m...
A finite group is said to be admissible if it has a permutation mapping of the form g → θ(g) such th...
AbstractLet Gp be a Sylow p-subgroup of the finite group G and let CharnG(Gp) represent the set of d...
AbstractIn this paper we consider groups G which have connected transversals to nonabelian subgroups...
AbstractWe settle a conjecture of Walter Carlip (1994) [2, Conjecture 1.3]. Suppose that G is a fini...
AbstractIf G is a group, H a subgroup of G, and Ω a transitive G-set we ask under what conditions on...
A theorem of L. J. Paige on complete maps is proved using factorizations of abelian groups. Let G be...
This thesis is mostly concerned with the block theory of finite groups whose 2-sylow subgroups are a...