FINITE GROUPS OF THE SAME TYPE AS SUZUKI GROUPS

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ALAVI SEYED HASSAN; Daneshkhah Ashraf; PARVIZI MOSAED HOSEIN

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Journal Paper

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2019 | Volume:8 | Issue:1 Page(s): 35-42

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Title

FINITE GROUPS OF THE SAME TYPE AS SUZUKI GROUPS

Author(s)

ALAVI SEYED HASSAN | Daneshkhah Ashraf | PARVIZI MOSAED HOSEIN | Issue Writer Certificate

Keywords

Suzuki group

Thompson's problem

element order

Abstract

For a nite group G and a positive integer n, let G(n) be the set of all elements in G such that xn = 1. The groups G and H are said to be of the same (order) type if jG(n)j = jH(n)j, for all n. The main aim of this paper is to show that if G is a nite group of the same type as Suzuki groups Sz(q), where q = 22m+1 8, then G is isomorphic to Sz(q). This addresses to the well-known J. G. Thompson's problem (1987) for simple groups.

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APA: Copy

ALAVI, SEYED HASSAN, Daneshkhah, Ashraf, & PARVIZI MOSAED, HOSEIN. (2019). FINITE GROUPS OF THE SAME TYPE AS SUZUKI GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 8(1), 35-42. SID. https://sid.ir/paper/723639/en

Vancouver: Copy

ALAVI SEYED HASSAN, Daneshkhah Ashraf, PARVIZI MOSAED HOSEIN. FINITE GROUPS OF THE SAME TYPE AS SUZUKI GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2019;8(1):35-42. Available from: https://sid.ir/paper/723639/en

IEEE: Copy

SEYED HASSAN ALAVI, Ashraf Daneshkhah, and HOSEIN PARVIZI MOSAED, “FINITE GROUPS OF THE SAME TYPE AS SUZUKI GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 8, no. 1, pp. 35–42, 2019, [Online]. Available: https://sid.ir/paper/723639/en

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