The classification of minimal non-prime-power order groups

DOI10.1007/BF01194842zbMath0809.20010OpenAlexW2081720316MaRDI QIDQ1325226

Joseph A. Gallian, David Petrie Moulton

Publication date: 3 April 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194842

zbMATH Keywords

finite groupsminimal nonnilpotent groupsproper subgroups of prime power order

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Series and lattices of subgroups (20D30) General structure theorems for groups (20E34)

Related Items (3)

Finite groups with some non-abelian subgroups of non-prime-power order ⋮ CLASSIFICATION OF MINIMAL NONASSOCIATIVE MOUFANG LOOPS OF ORDER pq³ ⋮ Finite Groups with Some Subgroups of Given Order

Cites Work

• Finite Groups in Which Every Element Has Prime Power Order
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