Glasnik matematički, Vol. 40 No. 1, 2005.
Izvorni znanstveni članak
A property of groups of order ≤ pp(e+1) and exponent pe
Yakov Berkovich
Sažetak
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.
Ključne riječi
Pyramidal; regular; absolutely regular; irregular and metacyclic p-groups; p-groups of maximal class
Hrčak ID:
397
URI
Datum izdavanja:
21.5.2005.
Posjeta: 948 *