Glasnik matematički, Vol. 40 No. 1, 2005.
Original scientific paper
A property of groups of order ≤ pp(e+1) and exponent pe
Yakov Berkovich
Abstract
Let G be a p-group of exponent pe and order pm, where m < p(e+1) if p > 2 and m 2(e+1) if p = 2. Then, if e-1(G) is irregular, then p = 2, e = 2 and e-1(G) D8 × C2, where |C2| = 2 and D8 is dihedral of order 8.
Keywords
Pyramidal; regular; absolutely regular; irregular and metacyclic p-groups; p-groups of maximal class
Hrčak ID:
397
URI
Publication date:
21.5.2005.
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