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Your search keyword '"Shirong Li"' showing total 4 results
Start Over Author "Shirong Li" Journal journal of group theory
4 results on '"Shirong Li"'

3. Finite groups with few non-cyclic subgroups

Author

Xubo Zhao and Shirong Li

Subjects
Combinatorics, Mathematics::Group Theory, Algebra and Number Theory, Conjugacy class, Locally finite group, Group (mathematics), Bounded function, Fitting length, Mathematics
Abstract

For a group H we denote by delta(H) the number of conjugacy classes of non-cyclic subgroups. Groups all of whose soluble subgroups H satisfy delta(H)

Published
2007

4. Finite groups with few non-cyclic subgroups.

Author

Shirong Li and Xubo Zhao

Subjects
*CONJUGACY classes, *SUBGROUP growth, *SOLVABLE groups, *MATHEMATICS, *GROUP theory
Abstract

For a group H we denote by δ( H) the number of conjugacy classes of non-cyclic subgroups. Groups all of whose soluble subgroups H satisfy δ( H) ≤ 2 are classified. It is also shown that the derived length and Fitting length of a soluble group G are bounded by functions of δ( G). [ABSTRACT FROM AUTHOR]

Published
2007
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