On index preserving projectivities of finite groups
We determine the finite groups whose lattice of subgroups is a subdirect product of lattices; the main tool we use is the treatment of L-homomorphisms of finite groups made by G. Zappa in [2].
Fitting classes and injectors are discussed in the class of -groups. A necessary and sufficient condition for the existence of injectors is given; it is also shown that, when this condition holds, the injectors form a unique conjugacy class.
Fitting classes and injectors are discussed in the class of -groups. A necessary and sufficient condition for the existence of injectors is given; it is also shown that, when this condition holds, the injectors form a unique conjugacy class.
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