COVERING MONOLITHIC GROUPS WITH PROPER SUBGROUPS

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GARONZI MARTINO

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Journal Paper

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2013 | Volume:2 | Issue:1 Page(s): 131-144

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Information Journal Paper

Title

COVERING MONOLITHIC GROUPS WITH PROPER SUBGROUPS

Author(s)

GARONZI MARTINO | Issue Writer Certificate

Keywords

COVERSQ4

PRIMITIVE GROUPSQ4

MONOLITHIC GROUPSQ4

Abstract

Given a finite non-cyclic group G, call s (G) the smallest number of proper subgroups of G needed to cover G. Lucchini and Detomi conjectured that if a nonabelian group G is such that s (G)<s (G/N) for every non-trivial normal subgroup N of G then G is monolithic, meaning that it admits a unique minimal normal subgroup. In this paper we show how this conjecture can be attacked by the direct study of MONOLITHIC GROUPS.

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APA: Copy

GARONZI, MARTINO. (2013). COVERING MONOLITHIC GROUPS WITH PROPER SUBGROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 2(1), 131-144. SID. https://sid.ir/paper/212652/en

Vancouver: Copy

GARONZI MARTINO. COVERING MONOLITHIC GROUPS WITH PROPER SUBGROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2013;2(1):131-144. Available from: https://sid.ir/paper/212652/en

IEEE: Copy

MARTINO GARONZI, “COVERING MONOLITHIC GROUPS WITH PROPER SUBGROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 2, no. 1, pp. 131–144, 2013, [Online]. Available: https://sid.ir/paper/212652/en

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