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This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume:
impact of minimal nonabelian subgroups on the structure of p-groups,
classification of groups all of whose nonnormal subgroups have the same order,
degrees of irreducible characters of p-groups associated with finite algebras,
groups covered by few proper subgroups,
p-groups of element breadth 2 and subgroup breadth 1,
exact number of subgroups of given order in a metacyclic p-group,
soft subgroups,
p-groups with a maximal elementary abelian subgroup of order p2,
p-groups generated by certain minimal nonabelian subgroups,
p-groups in which certain nonabelian subgroups are 2-generator.
The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.
impact of minimal nonabelian subgroups on the structure of p-groups,
classification of groups all of whose nonnormal subgroups have the same order,
degrees of irreducible characters of p-groups associated with finite algebras,
groups covered by few proper subgroups,
p-groups of element breadth 2 and subgroup breadth 1,
exact number of subgroups of given order in a metacyclic p-group,
soft subgroups,
p-groups with a maximal elementary abelian subgroup of order p2,
p-groups generated by certain minimal nonabelian subgroups,
p-groups in which certain nonabelian subgroups are 2-generator.
The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.