✦ LIBER ✦

On Subgroups of Finite p-Groups

✍ Scribed by Yakov Berkovich

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 303 KB
Volume: 224
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8004

No coin nor oath required. For personal study only.

✦ Synopsis

Introduction.

p-groups with Small Groups of Operators.
The Number of Solutions to x p s 1 in a Sylow p-subgroup of the Symmetric Group.
p-groups with Maximal Elementary Subgroup of Order p 2 . 4. On the Maximal Order of Subgroups of Given Exponent in a p-group.

5. p-groups with

Cyclic Frattini Subgroup. 6. p-groups without Elementary Subgroups of Order p 3 , p ) 2. 7. p-groups with Few Cyclic Subgroups of Order p 2 . 8. On the Number of L -subgroups. w 9. 2-groups with Small Centralizer. 10. Characterization Theorems. 11. Open Questions.

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