Nilpotent Injectors and Conjugacy Classes in Solvable Groups

Geoffrey Robinson

Nilpotent Injectors and Conjugacy Classes in Solvable Groups

Geoffrey Robinson

Mathematics

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

We provide an upper bound for the order of a nilpotent injector of a finite solvable group with Fitting subgroup of order n. We also show that the same bound is an upper bound for the number of conjugacy classes, provided that the k(GV)-conjecture holds for solvable G all primes dividing n.

Original language	English
Pages (from-to)	349-352
Number of pages	4
Journal	Journal of the Australian Mathematical Society
Volume	71
Publication status	Published - 1 Jan 2001

Cite this

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abstract = "We provide an upper bound for the order of a nilpotent injector of a finite solvable group with Fitting subgroup of order n. We also show that the same bound is an upper bound for the number of conjugacy classes, provided that the k(GV)-conjecture holds for solvable G all primes dividing n.",

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language = "English",

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AB - We provide an upper bound for the order of a nilpotent injector of a finite solvable group with Fitting subgroup of order n. We also show that the same bound is an upper bound for the number of conjugacy classes, provided that the k(GV)-conjecture holds for solvable G all primes dividing n.

M3 - Article

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SP - 349

EP - 352

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

ER -

Nilpotent Injectors and Conjugacy Classes in Solvable Groups

Abstract

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