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≡3 modulo 4. We prove the conjecture true for SL(2,q), q≡3 modulo 4
Abstract—We study the structure of finite groups whose maximal subgroups have the Hall property. We ...
The converse of Lagrange’s theorem is false: if G is a finite group and d|#G, then there may not be ...
For a group G and a subgroup M of G, we say that a subgroup A of G is a supplement to M in G, if G =...
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...
AbstractLet G be a finite p-group of order pn. A well known result of P. Hall determines the number ...
In this paper we have completely determined: (1) all almost simple groups which act 2-transitively o...
AbstractA natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-...
AbstractIn 1955 Hall and Paige conjectured that a finite group is admissible, i.e., admits complete ...
AbstractA natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-...
A natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-subgroup...
The converse of Lagrange’s theorem is false: if G is a finite group and d|#G, then there may not be ...
Abstract—We study the structure of finite groups whose maximal subgroups have the Hall property. We ...
The converse of Lagrange’s theorem is false: if G is a finite group and d|#G, then there may not be ...
For a group G and a subgroup M of G, we say that a subgroup A of G is a supplement to M in G, if G =...
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...
AbstractLet G be a finite p-group of order pn. A well known result of P. Hall determines the number ...
In this paper we have completely determined: (1) all almost simple groups which act 2-transitively o...
AbstractA natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-...
AbstractIn 1955 Hall and Paige conjectured that a finite group is admissible, i.e., admits complete ...
AbstractA natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-...
A natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-subgroup...
The converse of Lagrange’s theorem is false: if G is a finite group and d|#G, then there may not be ...
Abstract—We study the structure of finite groups whose maximal subgroups have the Hall property. We ...
The converse of Lagrange’s theorem is false: if G is a finite group and d|#G, then there may not be ...
For a group G and a subgroup M of G, we say that a subgroup A of G is a supplement to M in G, if G =...
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