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The near Frattini subgroups of infinite groups

โœ Scribed by J.B. Riles


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
917 KB
Volume
12
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES


Near subgroups of groups
โœ D.G. Hoffman; Sylvia Hobart; Ronald C. Mullin ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 467 KB

A finite subset A of a group is a near subgroup if the number of ordered pairs (x, y) e A 2 with xy ~ A is at most I A [. We show here that if I A I >/5, then A is a near subgroup if and only if A w {g} is a subgroup for some group element g. We also classify the counterexamples if LAI~< 4.

Subgroups of the Nottingham Group
โœ Rachel Camina ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 214 KB