The local structure theorum for finite groups with a large p-subgroup / U. Meierfrankenfeld, B. Stellmacher, G. Stroth.

Format:

Book

Author/Creator:

Meierfrankenfeld, U. (Ulrich), 1962- author.

Stellmacher, B. (Bernd), author.

Stroth, Gernot, 1949- author.

Series:

Memoirs of the American Mathematical Society ; v. 242, no. 1147.

Memoirs of the American Mathematical Society, 0065-9266 ; volume 242, number 1147

Language:

English

Subjects (All):

Finite groups.

Group theory.

Physical Description:

1 online resource (356 pages).

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2016]

Summary:

Let p be a prime, G a finite \mathcal{K}_p-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., C_G(Q) \leq Q and N_G(U) \leq N_G(Q) for 1 \ne U \leq C_G(Q)). Let L be any subgroup of G with S\leq L, O_p(L)\neq 1 and Q\ntrianglelefteq L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup Y_L of L.

Notes:

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-2948-9